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Finding the Fourth Proportional to 127,843.34, 191,764.88 and 34,349.10

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Solution

The fourth proportional to 127,843.34, 191,764.88 and 34,349.10 is: 51,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,843.34 : 191,764.88 = 34,349.10 : x
  2. Step 2: Convert to fraction form
    127,843.34/191,764.88 = 34,349.10/x
  3. Step 3: Cross multiply
    127,843.34x = 191,764.88 × 34,349.10
  4. Step 4: Simplify right side
    127,843.34x = 6,586,951,039.61
  5. Step 5: Solve for x
    x = 6,586,951,039.61/127,843.34
  6. Step 6: Final answer
    x = 51,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.