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Finding the Fourth Proportional to 138,889.22, 191,678.92 and 78,470.96

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Solution

The fourth proportional to 138,889.22, 191,678.92 and 78,470.96 is: 108,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,889.22 : 191,678.92 = 78,470.96 : x
  2. Step 2: Convert to fraction form
    138,889.22/191,678.92 = 78,470.96/x
  3. Step 3: Cross multiply
    138,889.22x = 191,678.92 × 78,470.96
  4. Step 4: Simplify right side
    138,889.22x = 15,041,228,864.16
  5. Step 5: Solve for x
    x = 15,041,228,864.16/138,889.22
  6. Step 6: Final answer
    x = 108,296.59

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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.