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Finding the Fourth Proportional to 138,902.76, 208,222.74 and 50,132.52

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Solution

The fourth proportional to 138,902.76, 208,222.74 and 50,132.52 is: 75,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902.76 : 208,222.74 = 50,132.52 : x
  2. Step 2: Convert to fraction form
    138,902.76/208,222.74 = 50,132.52/x
  3. Step 3: Cross multiply
    138,902.76x = 208,222.74 × 50,132.52
  4. Step 4: Simplify right side
    138,902.76x = 10,438,730,677.50
  5. Step 5: Solve for x
    x = 10,438,730,677.50/138,902.76
  6. Step 6: Final answer
    x = 75,151.36

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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.