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Finding the Fourth Proportional to 135,884.96, 203,605.50 and 82,593.24

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Solution

The fourth proportional to 135,884.96, 203,605.50 and 82,593.24 is: 123,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.96 : 203,605.50 = 82,593.24 : x
  2. Step 2: Convert to fraction form
    135,884.96/203,605.50 = 82,593.24/x
  3. Step 3: Cross multiply
    135,884.96x = 203,605.50 × 82,593.24
  4. Step 4: Simplify right side
    135,884.96x = 16,816,437,926.82
  5. Step 5: Solve for x
    x = 16,816,437,926.82/135,884.96
  6. Step 6: Final answer
    x = 123,754.96

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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.