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Finding the Fourth Proportional to 100,523.57, 138,712.97 and 60,229.85

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Solution

The fourth proportional to 100,523.57, 138,712.97 and 60,229.85 is: 83,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523.57 : 138,712.97 = 60,229.85 : x
  2. Step 2: Convert to fraction form
    100,523.57/138,712.97 = 60,229.85/x
  3. Step 3: Cross multiply
    100,523.57x = 138,712.97 × 60,229.85
  4. Step 4: Simplify right side
    100,523.57x = 8,354,660,833.16
  5. Step 5: Solve for x
    x = 8,354,660,833.16/100,523.57
  6. Step 6: Final answer
    x = 83,111.47

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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.