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Finding the Fourth Proportional to 232,654.72, 321,056.50 and 129,288.56

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Solution

The fourth proportional to 232,654.72, 321,056.50 and 129,288.56 is: 178,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.72 : 321,056.50 = 129,288.56 : x
  2. Step 2: Convert to fraction form
    232,654.72/321,056.50 = 129,288.56/x
  3. Step 3: Cross multiply
    232,654.72x = 321,056.50 × 129,288.56
  4. Step 4: Simplify right side
    232,654.72x = 41,508,933,366.28
  5. Step 5: Solve for x
    x = 41,508,933,366.28/232,654.72
  6. Step 6: Final answer
    x = 178,414.32

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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.