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Finding the Fourth Proportional to 146,691.54, 202,387.01 and 82,151.15

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Solution

The fourth proportional to 146,691.54, 202,387.01 and 82,151.15 is: 113,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691.54 : 202,387.01 = 82,151.15 : x
  2. Step 2: Convert to fraction form
    146,691.54/202,387.01 = 82,151.15/x
  3. Step 3: Cross multiply
    146,691.54x = 202,387.01 × 82,151.15
  4. Step 4: Simplify right side
    146,691.54x = 16,626,324,193.87
  5. Step 5: Solve for x
    x = 16,626,324,193.87/146,691.54
  6. Step 6: Final answer
    x = 113,342.08

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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.