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Finding the Fourth Proportional to 135,644.42, 187,151.12 and 106,874.89

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Solution

The fourth proportional to 135,644.42, 187,151.12 and 106,874.89 is: 147,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.42 : 187,151.12 = 106,874.89 : x
  2. Step 2: Convert to fraction form
    135,644.42/187,151.12 = 106,874.89/x
  3. Step 3: Cross multiply
    135,644.42x = 187,151.12 × 106,874.89
  4. Step 4: Simplify right side
    135,644.42x = 20,001,755,363.38
  5. Step 5: Solve for x
    x = 20,001,755,363.38/135,644.42
  6. Step 6: Final answer
    x = 147,457.27

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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.