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Finding the Fourth Proportional to 165,714.33, 228,772.32 and 129,337.65

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Solution

The fourth proportional to 165,714.33, 228,772.32 and 129,337.65 is: 178,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,714.33 : 228,772.32 = 129,337.65 : x
  2. Step 2: Convert to fraction form
    165,714.33/228,772.32 = 129,337.65/x
  3. Step 3: Cross multiply
    165,714.33x = 228,772.32 × 129,337.65
  4. Step 4: Simplify right side
    165,714.33x = 29,588,874,253.85
  5. Step 5: Solve for x
    x = 29,588,874,253.85/165,714.33
  6. Step 6: Final answer
    x = 178,553.50

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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.