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Finding the Fourth Proportional to 135,574.38, 187,103.85 and 75,163.97

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Solution

The fourth proportional to 135,574.38, 187,103.85 and 75,163.97 is: 103,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,574.38 : 187,103.85 = 75,163.97 : x
  2. Step 2: Convert to fraction form
    135,574.38/187,103.85 = 75,163.97/x
  3. Step 3: Cross multiply
    135,574.38x = 187,103.85 × 75,163.97
  4. Step 4: Simplify right side
    135,574.38x = 14,063,468,354.18
  5. Step 5: Solve for x
    x = 14,063,468,354.18/135,574.38
  6. Step 6: Final answer
    x = 103,732.49

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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.