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Finding the Fourth Proportional to 138,819.42, 208,178.91 and 50,049.09

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Solution

The fourth proportional to 138,819.42, 208,178.91 and 50,049.09 is: 75,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,819.42 : 208,178.91 = 50,049.09 : x
  2. Step 2: Convert to fraction form
    138,819.42/208,178.91 = 50,049.09/x
  3. Step 3: Cross multiply
    138,819.42x = 208,178.91 × 50,049.09
  4. Step 4: Simplify right side
    138,819.42x = 10,419,165,002.69
  5. Step 5: Solve for x
    x = 10,419,165,002.69/138,819.42
  6. Step 6: Final answer
    x = 75,055.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.