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Finding the Fourth Proportional to 138,665.92, 191,342.49 and 78,233.03

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Solution

The fourth proportional to 138,665.92, 191,342.49 and 78,233.03 is: 107,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,665.92 : 191,342.49 = 78,233.03 : x
  2. Step 2: Convert to fraction form
    138,665.92/191,342.49 = 78,233.03/x
  3. Step 3: Cross multiply
    138,665.92x = 191,342.49 × 78,233.03
  4. Step 4: Simplify right side
    138,665.92x = 14,969,302,760.44
  5. Step 5: Solve for x
    x = 14,969,302,760.44/138,665.92
  6. Step 6: Final answer
    x = 107,952.29

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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.