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Finding the Fourth Proportional to 135,687, 203,367 and 50,229.56

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Solution

The fourth proportional to 135,687, 203,367 and 50,229.56 is: 75,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,687 : 203,367 = 50,229.56 : x
  2. Step 2: Convert to fraction form
    135,687/203,367 = 50,229.56/x
  3. Step 3: Cross multiply
    135,687x = 203,367 × 50,229.56
  4. Step 4: Simplify right side
    135,687x = 10,215,034,928.52
  5. Step 5: Solve for x
    x = 10,215,034,928.52/135,687
  6. Step 6: Final answer
    x = 75,283.81

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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.