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Finding the Fourth Proportional to 234,951.32, 324,233.10 and 127,521.38

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Solution

The fourth proportional to 234,951.32, 324,233.10 and 127,521.38 is: 175,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,951.32 : 324,233.10 = 127,521.38 : x
  2. Step 2: Convert to fraction form
    234,951.32/324,233.10 = 127,521.38/x
  3. Step 3: Cross multiply
    234,951.32x = 324,233.10 × 127,521.38
  4. Step 4: Simplify right side
    234,951.32x = 41,346,653,164.26
  5. Step 5: Solve for x
    x = 41,346,653,164.26/234,951.32
  6. Step 6: Final answer
    x = 175,979.66

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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.