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Finding the Fourth Proportional to 135,882.92, 187,512.17 and 75,457.42

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Solution

The fourth proportional to 135,882.92, 187,512.17 and 75,457.42 is: 104,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.92 : 187,512.17 = 75,457.42 : x
  2. Step 2: Convert to fraction form
    135,882.92/187,512.17 = 75,457.42/x
  3. Step 3: Cross multiply
    135,882.92x = 187,512.17 × 75,457.42
  4. Step 4: Simplify right side
    135,882.92x = 14,149,184,775.49
  5. Step 5: Solve for x
    x = 14,149,184,775.49/135,882.92
  6. Step 6: Final answer
    x = 104,127.77

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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.