Josh has a high$-$risk tolerance when it comes to investing in his portfolio and has invested aggressively over the past years. Both he and his twin sister, Jolene, just received $$150,000$ each from their grandfather's estate whose final wishes were for both to invest the money for their retirement in $30$ years. Josh is looking to invest this money in some risky investments for $30$ years with monthly compounding at $9\mathrm{.}25\%.$ Jolene, who is risk averse is going to invest her $$150,000$ inheritance at $4\%,$ compounding weekly over $30$ years. How much would Josh have in his portfolio over Jolene's?