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Finding the Fourth Proportional to 127,659.92, 191,489.76 and 34,163.20

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Solution

The fourth proportional to 127,659.92, 191,489.76 and 34,163.20 is: 51,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,659.92 : 191,489.76 = 34,163.20 : x
  2. Step 2: Convert to fraction form
    127,659.92/191,489.76 = 34,163.20/x
  3. Step 3: Cross multiply
    127,659.92x = 191,489.76 × 34,163.20
  4. Step 4: Simplify right side
    127,659.92x = 6,541,902,968.83
  5. Step 5: Solve for x
    x = 6,541,902,968.83/127,659.92
  6. Step 6: Final answer
    x = 51,244.77

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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.