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Finding the Fourth Proportional to 82,354.34, 123,478.17 and 54,189.11

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Solution

The fourth proportional to 82,354.34, 123,478.17 and 54,189.11 is: 81,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.34 : 123,478.17 = 54,189.11 : x
  2. Step 2: Convert to fraction form
    82,354.34/123,478.17 = 54,189.11/x
  3. Step 3: Cross multiply
    82,354.34x = 123,478.17 × 54,189.11
  4. Step 4: Simplify right side
    82,354.34x = 6,691,171,519.34
  5. Step 5: Solve for x
    x = 6,691,171,519.34/82,354.34
  6. Step 6: Final answer
    x = 81,248.56

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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.