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Finding the Fourth Proportional to 138,772.80, 208,010.16 and 59,924.16

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Solution

The fourth proportional to 138,772.80, 208,010.16 and 59,924.16 is: 89,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772.80 : 208,010.16 = 59,924.16 : x
  2. Step 2: Convert to fraction form
    138,772.80/208,010.16 = 59,924.16/x
  3. Step 3: Cross multiply
    138,772.80x = 208,010.16 × 59,924.16
  4. Step 4: Simplify right side
    138,772.80x = 12,464,834,109.47
  5. Step 5: Solve for x
    x = 12,464,834,109.47/138,772.80
  6. Step 6: Final answer
    x = 89,821.88

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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.