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Finding the Fourth Proportional to 138,542.79, 207,822.96 and 58,565.85

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Solution

The fourth proportional to 138,542.79, 207,822.96 and 58,565.85 is: 87,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,542.79 : 207,822.96 = 58,565.85 : x
  2. Step 2: Convert to fraction form
    138,542.79/207,822.96 = 58,565.85/x
  3. Step 3: Cross multiply
    138,542.79x = 207,822.96 × 58,565.85
  4. Step 4: Simplify right side
    138,542.79x = 12,171,327,634.67
  5. Step 5: Solve for x
    x = 12,171,327,634.67/138,542.79
  6. Step 6: Final answer
    x = 87,852.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.