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Finding the Fourth Proportional to 198,937.50, 274,533.75 and 114,082.62

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Solution

The fourth proportional to 198,937.50, 274,533.75 and 114,082.62 is: 157,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,937.50 : 274,533.75 = 114,082.62 : x
  2. Step 2: Convert to fraction form
    198,937.50/274,533.75 = 114,082.62/x
  3. Step 3: Cross multiply
    198,937.50x = 274,533.75 × 114,082.62
  4. Step 4: Simplify right side
    198,937.50x = 31,319,529,478.43
  5. Step 5: Solve for x
    x = 31,319,529,478.43/198,937.50
  6. Step 6: Final answer
    x = 157,434.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.