You are set to receive an inheritance from a distant relative, distributed in four separate deposits over six years. Simultaneously, you're earning an annual salary of $$74,000,$ treated as an annuity. Without withdrawing any funds, what will be the balance in your account at the end of the sixth year, assuming an annual interest rate of $8\%?$ Year $1$: $$10,000$

Year $2$: $0$

Year $3$: $$10,500$

Year $4$: $$11,000$

Year $5$: $0$

Year $6$: $$11,500$