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Finding the Fourth Proportional to 234,910.82, 324,179.31 and 127,481.78

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Solution

The fourth proportional to 234,910.82, 324,179.31 and 127,481.78 is: 175,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,910.82 : 324,179.31 = 127,481.78 : x
  2. Step 2: Convert to fraction form
    234,910.82/324,179.31 = 127,481.78/x
  3. Step 3: Cross multiply
    234,910.82x = 324,179.31 × 127,481.78
  4. Step 4: Simplify right side
    234,910.82x = 41,326,953,857.08
  5. Step 5: Solve for x
    x = 41,326,953,857.08/234,910.82
  6. Step 6: Final answer
    x = 175,926.14

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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.