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Finding the Fourth Proportional to 198,896.20, 274,472.92 and 108,254.16

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Solution

The fourth proportional to 198,896.20, 274,472.92 and 108,254.16 is: 149,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,896.20 : 274,472.92 = 108,254.16 : x
  2. Step 2: Convert to fraction form
    198,896.20/274,472.92 = 108,254.16/x
  3. Step 3: Cross multiply
    198,896.20x = 274,472.92 × 108,254.16
  4. Step 4: Simplify right side
    198,896.20x = 29,712,835,397.35
  5. Step 5: Solve for x
    x = 29,712,835,397.35/198,896.20
  6. Step 6: Final answer
    x = 149,388.65

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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.