A lender would likely approve you up to $295,317
On $89,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,077 a month toward housing. With $45,000 down at 6.65%, that reaches roughly $295,317 — a $250,317 loan at 15.2% down. Your resulting debt-to-income ratio would be 35%, and you are currently limited by the housing ratio.