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Finding the Fourth Proportional to 100,416.38, 138,757.96 and 73,144.99

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Solution

The fourth proportional to 100,416.38, 138,757.96 and 73,144.99 is: 101,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.38 : 138,757.96 = 73,144.99 : x
  2. Step 2: Convert to fraction form
    100,416.38/138,757.96 = 73,144.99/x
  3. Step 3: Cross multiply
    100,416.38x = 138,757.96 × 73,144.99
  4. Step 4: Simplify right side
    100,416.38x = 10,149,449,861.50
  5. Step 5: Solve for x
    x = 10,149,449,861.50/100,416.38
  6. Step 6: Final answer
    x = 101,073.65

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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.