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Finding the Fourth Proportional to 135,609.15, 187,151.67 and 75,198.73

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Solution

The fourth proportional to 135,609.15, 187,151.67 and 75,198.73 is: 103,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,609.15 : 187,151.67 = 75,198.73 : x
  2. Step 2: Convert to fraction form
    135,609.15/187,151.67 = 75,198.73/x
  3. Step 3: Cross multiply
    135,609.15x = 187,151.67 × 75,198.73
  4. Step 4: Simplify right side
    135,609.15x = 14,073,567,901.38
  5. Step 5: Solve for x
    x = 14,073,567,901.38/135,609.15
  6. Step 6: Final answer
    x = 103,780.37

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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.