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Finding the Fourth Proportional to 182,882.31, 252,367.41 and 102,294.26

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Solution

The fourth proportional to 182,882.31, 252,367.41 and 102,294.26 is: 141,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,882.31 : 252,367.41 = 102,294.26 : x
  2. Step 2: Convert to fraction form
    182,882.31/252,367.41 = 102,294.26/x
  3. Step 3: Cross multiply
    182,882.31x = 252,367.41 × 102,294.26
  4. Step 4: Simplify right side
    182,882.31x = 25,815,737,454.07
  5. Step 5: Solve for x
    x = 25,815,737,454.07/182,882.31
  6. Step 6: Final answer
    x = 141,160.39

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Why These Related Problems?

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