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Finding the Fourth Proportional to 231,714.52, 319,757.18 and 129,730.44

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Solution

The fourth proportional to 231,714.52, 319,757.18 and 129,730.44 is: 179,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714.52 : 319,757.18 = 129,730.44 : x
  2. Step 2: Convert to fraction form
    231,714.52/319,757.18 = 129,730.44/x
  3. Step 3: Cross multiply
    231,714.52x = 319,757.18 × 129,730.44
  4. Step 4: Simplify right side
    231,714.52x = 41,482,237,407.12
  5. Step 5: Solve for x
    x = 41,482,237,407.12/231,714.52
  6. Step 6: Final answer
    x = 179,023.04

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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.