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Finding the Fourth Proportional to 103,080.38, 142,337.62 and 77,542.48

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Solution

The fourth proportional to 103,080.38, 142,337.62 and 77,542.48 is: 107,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,080.38 : 142,337.62 = 77,542.48 : x
  2. Step 2: Convert to fraction form
    103,080.38/142,337.62 = 77,542.48/x
  3. Step 3: Cross multiply
    103,080.38x = 142,337.62 × 77,542.48
  4. Step 4: Simplify right side
    103,080.38x = 11,037,212,052.10
  5. Step 5: Solve for x
    x = 11,037,212,052.10/103,080.38
  6. Step 6: Final answer
    x = 107,073.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.