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Finding the Fourth Proportional to 135,242.73, 202,882.55 and 56,338.50

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Solution

The fourth proportional to 135,242.73, 202,882.55 and 56,338.50 is: 84,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,242.73 : 202,882.55 = 56,338.50 : x
  2. Step 2: Convert to fraction form
    135,242.73/202,882.55 = 56,338.50/x
  3. Step 3: Cross multiply
    135,242.73x = 202,882.55 × 56,338.50
  4. Step 4: Simplify right side
    135,242.73x = 11,430,098,261.48
  5. Step 5: Solve for x
    x = 11,430,098,261.48/135,242.73
  6. Step 6: Final answer
    x = 84,515.44

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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.