ABC Company bought equipment on January $1$ with a list price of $$125,000$ and credit terms $\frac{2}{10},\frac{n}{30}.$ The payment was made within the discount period. ABC also paid $$6,250$ in sales tax and $$2,200$ for installation. Before installation, a $$5,000$ concrete slab was poured for the equipment. Determine the total cost of the equipment.