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Finding the Fourth Proportional to 205,713.38, 283,871.10 and 115,053.65

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Solution

The fourth proportional to 205,713.38, 283,871.10 and 115,053.65 is: 158,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.38 : 283,871.10 = 115,053.65 : x
  2. Step 2: Convert to fraction form
    205,713.38/283,871.10 = 115,053.65/x
  3. Step 3: Cross multiply
    205,713.38x = 283,871.10 × 115,053.65
  4. Step 4: Simplify right side
    205,713.38x = 32,660,404,765.16
  5. Step 5: Solve for x
    x = 32,660,404,765.16/205,713.38
  6. Step 6: Final answer
    x = 158,766.56

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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.