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Finding the Fourth Proportional to 102,882.26, 141,983.04 and 57,557.54

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Solution

The fourth proportional to 102,882.26, 141,983.04 and 57,557.54 is: 79,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.26 : 141,983.04 = 57,557.54 : x
  2. Step 2: Convert to fraction form
    102,882.26/141,983.04 = 57,557.54/x
  3. Step 3: Cross multiply
    102,882.26x = 141,983.04 × 57,557.54
  4. Step 4: Simplify right side
    102,882.26x = 8,172,193,794.21
  5. Step 5: Solve for x
    x = 8,172,193,794.21/102,882.26
  6. Step 6: Final answer
    x = 79,432.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.