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Finding the Fourth Proportional to 100,549.38, 138,742.68 and 58,099.71

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Solution

The fourth proportional to 100,549.38, 138,742.68 and 58,099.71 is: 80,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,549.38 : 138,742.68 = 58,099.71 : x
  2. Step 2: Convert to fraction form
    100,549.38/138,742.68 = 58,099.71/x
  3. Step 3: Cross multiply
    100,549.38x = 138,742.68 × 58,099.71
  4. Step 4: Simplify right side
    100,549.38x = 8,060,909,472.62
  5. Step 5: Solve for x
    x = 8,060,909,472.62/100,549.38
  6. Step 6: Final answer
    x = 80,168.66

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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.