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Finding the Fourth Proportional to 140,098.32, 209,866.74 and 132,739.44

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Solution

The fourth proportional to 140,098.32, 209,866.74 and 132,739.44 is: 198,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098.32 : 209,866.74 = 132,739.44 : x
  2. Step 2: Convert to fraction form
    140,098.32/209,866.74 = 132,739.44/x
  3. Step 3: Cross multiply
    140,098.32x = 209,866.74 × 132,739.44
  4. Step 4: Simplify right side
    140,098.32x = 27,857,593,542.23
  5. Step 5: Solve for x
    x = 27,857,593,542.23/140,098.32
  6. Step 6: Final answer
    x = 198,843.17

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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.