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Finding the Fourth Proportional to 102,906.32, 141,951.24 and 60,456.08

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Solution

The fourth proportional to 102,906.32, 141,951.24 and 60,456.08 is: 83,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.32 : 141,951.24 = 60,456.08 : x
  2. Step 2: Convert to fraction form
    102,906.32/141,951.24 = 60,456.08/x
  3. Step 3: Cross multiply
    102,906.32x = 141,951.24 × 60,456.08
  4. Step 4: Simplify right side
    102,906.32x = 8,581,815,521.54
  5. Step 5: Solve for x
    x = 8,581,815,521.54/102,906.32
  6. Step 6: Final answer
    x = 83,394.45

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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.