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Finding the Fourth Proportional to 135,644.67, 187,199.24 and 75,221.10

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Solution

The fourth proportional to 135,644.67, 187,199.24 and 75,221.10 is: 103,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.67 : 187,199.24 = 75,221.10 : x
  2. Step 2: Convert to fraction form
    135,644.67/187,199.24 = 75,221.10/x
  3. Step 3: Cross multiply
    135,644.67x = 187,199.24 × 75,221.10
  4. Step 4: Simplify right side
    135,644.67x = 14,081,332,375.86
  5. Step 5: Solve for x
    x = 14,081,332,375.86/135,644.67
  6. Step 6: Final answer
    x = 103,810.44

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