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Finding the Fourth Proportional to 263,144.97, 394,766.14 and 83,275.66

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Solution

The fourth proportional to 263,144.97, 394,766.14 and 83,275.66 is: 124,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,144.97 : 394,766.14 = 83,275.66 : x
  2. Step 2: Convert to fraction form
    263,144.97/394,766.14 = 83,275.66/x
  3. Step 3: Cross multiply
    263,144.97x = 394,766.14 × 83,275.66
  4. Step 4: Simplify right side
    263,144.97x = 32,874,412,479.59
  5. Step 5: Solve for x
    x = 32,874,412,479.59/263,144.97
  6. Step 6: Final answer
    x = 124,928.91

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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.