The tourists, who began the final day on 35-0 chasing a further 274 runs for victory, ended up 277-8 when the game was called to an end.
Tagenarine Chanderpaul completed an excellent match by top-scoring with 56, to go with his first innings 119, and was well supported by half centuries from Joshua Da Silva (54 not out) and Devon Thomas (55).
Pacer Mark Steketee took three wickets for the President’s XI while Ashton Agar and Michael Neser, who have both represented Australia in Tests, took two wickets each.
Scores: PM’s XI 322 and 221-4 declared, West Indies 235 and 277-8.
The West Indies will now turn their attention to the first test against the Aussies starting Wednesday in Perth at 9:20pm Jamaica Time (10:20pm ECT).
The tourists ended day three 35 without loss at stumps after 16 overs, with Kraigg Brathwaite on 19 and first innings centurion Tagenarine Chanderpaul on 15 needing a further 274 runs on Saturday.
Earlier, day three started with the West Indians resuming their first innings at 234 for 7. They added just one run from a no ball before their innings ended in the second over of the day.
Paceman Mark Steketee (3-33) trapped Alzarri Joseph lbw and two balls later had Jayden Seales well caught at second slip by Peter Handscomb. With Raymon Reifer unable to bat, West Indies ended on 235 for 9.
The PM's XI then reached 221-4 off 70 overs before captain Josh Inglis’ declaration set the Windies 309 to win.
The innings was declared four balls after Renshaw reached his 17th first-class ton, scoring 101 not out off 218 balls.
The 26-year-old, who played the most recent of his 11 Tests in 2018, added 145 for the third wicket with Peter Handscomb, after the Windies had reduced the home team to 13 for 2.
Renshaw, who also top-scored with 81 in the first innings, hit nine fours in the unbeaten knock.
Handscomb, who scored 55 in the first innings, was bowled five minutes before the dinner break by spinner Kraigg Brathwaite for 75.
Opener Alick Athanaze with a 60-ball 32, was the only batsman to offer any real resistance as West Indies were embarrassingly bowled out for 86 in 24.1 overs, their fifth lowest ODI score. Only Keacy Carty (12) and Roston Chase (10) were the other double figure scores in the dismal innings.
Still, Australia, playing their 1,000th ODI, the second nation to do so after India, were almost flawless following comprehensive victories in Melbourne and Sydney.
Xavier Bartlett, like he did in the first contest, again starred with the ball, as he ended with four wickets for 21 runs, after which openers Josh Inglish and Jake Fraser-McGurk raced toward the low target by smashing 67 runs within five overs, and laid the foundation for the hosts to complete their eight-wicket victory with 43.1 overs to spare in what was the shortest men's ODI ever played in Australia.
The match lasted just 31 overs and was completed in three hours, including the innings break.
Australia 87 for 2 (Fraser-McGurk 41, Inglis 35*) beat West Indies 86 (Bartlett 4-21) by eight wickets
Inglis raced to 22 off seven deliveries, as he played gorgeous orthodox shots, but was quickly overtaken by Fraser-McGurk, who muscled three sixes in four balls off seamer Matthew Forde.
Fraser-McGurk was on track for a rapid half-century, but holed out to mid-on to end his 18-ball 41 and dashed Australia's hopes for a 10-wicket win.
Aaron Hardie made just two before Australia passed the target after 6.5 overs.
Earlier, Steven Smith's decision to bowl first was aided by a shoddy West Indies effort with a number of batters dismissed in tame fashion.
Following his stunning four-wicket debut at the MCG, Bartlett was immediately on the money with the new ball, as he had opener Kjorn Ottley trapped in front in his second over.
Athanaze and Carty held firm as West Indies' fortunes momentarily seemed to turn, and they eyed a decent total on the traditionally batting-friendly Manuka Oval surface.
West Indies avoided the early collapses that marred their opening two games, but the introduction of Lance Morris in the 11th over soon left them in familiar woe.
Morris had his first international wicket when Carty was brilliantly caught by a flying Marnus Labuschagne at backward point. Captain Shai Hope unsuccessfully reviewed a leg-before-wicket decision off Sean Abbott in the next over, before Morris clean bowled debutant Teddy Bishop with a searing full delivery that rattled the stumps.
Athanaze held the innings together until he threw away his wicket with a rash sweep stroke against leg-spinner Adam Zampa that was caught at deep backward square.
Smith went on the attack and brought back Bartlett, who on his first delivery nicked off Romario Shepherd.
West Indies' woeful performance was summed up with a comical run out of Forde, who bickered with batting partner Roston Chase on his way off, as their 27-year ODI drought against Australia in Australia continues.
