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Finding the Fourth Proportional to 137,879.20, 206,818.80 and 110,231.20

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Solution

The fourth proportional to 137,879.20, 206,818.80 and 110,231.20 is: 165,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,879.20 : 206,818.80 = 110,231.20 : x
  2. Step 2: Convert to fraction form
    137,879.20/206,818.80 = 110,231.20/x
  3. Step 3: Cross multiply
    137,879.20x = 206,818.80 × 110,231.20
  4. Step 4: Simplify right side
    137,879.20x = 22,797,884,506.56
  5. Step 5: Solve for x
    x = 22,797,884,506.56/137,879.20
  6. Step 6: Final answer
    x = 165,346.80

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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.