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Finding the Fourth Proportional to 135,882.96, 203,602.50 and 82,591.24

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Solution

The fourth proportional to 135,882.96, 203,602.50 and 82,591.24 is: 123,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.96 : 203,602.50 = 82,591.24 : x
  2. Step 2: Convert to fraction form
    135,882.96/203,602.50 = 82,591.24/x
  3. Step 3: Cross multiply
    135,882.96x = 203,602.50 × 82,591.24
  4. Step 4: Simplify right side
    135,882.96x = 16,815,782,942.10
  5. Step 5: Solve for x
    x = 16,815,782,942.10/135,882.96
  6. Step 6: Final answer
    x = 123,751.96

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Why These Related Problems?

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