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Finding the Fourth Proportional to 234,714.14, 323,902.64 and 127,282.87

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Solution

The fourth proportional to 234,714.14, 323,902.64 and 127,282.87 is: 175,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,714.14 : 323,902.64 = 127,282.87 : x
  2. Step 2: Convert to fraction form
    234,714.14/323,902.64 = 127,282.87/x
  3. Step 3: Cross multiply
    234,714.14x = 323,902.64 × 127,282.87
  4. Step 4: Simplify right side
    234,714.14x = 41,227,255,363.85
  5. Step 5: Solve for x
    x = 41,227,255,363.85/234,714.14
  6. Step 6: Final answer
    x = 175,648.80

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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.