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Finding the Fourth Proportional to 100,550.38, 138,744.09 and 58,100.68

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Solution

The fourth proportional to 100,550.38, 138,744.09 and 58,100.68 is: 80,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,550.38 : 138,744.09 = 58,100.68 : x
  2. Step 2: Convert to fraction form
    100,550.38/138,744.09 = 58,100.68/x
  3. Step 3: Cross multiply
    100,550.38x = 138,744.09 × 58,100.68
  4. Step 4: Simplify right side
    100,550.38x = 8,061,125,974.98
  5. Step 5: Solve for x
    x = 8,061,125,974.98/100,550.38
  6. Step 6: Final answer
    x = 80,170.02

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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.