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Finding the Fourth Proportional to 269,750.25, 404,632.80 and 82,761.75

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Solution

The fourth proportional to 269,750.25, 404,632.80 and 82,761.75 is: 124,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,750.25 : 404,632.80 = 82,761.75 : x
  2. Step 2: Convert to fraction form
    269,750.25/404,632.80 = 82,761.75/x
  3. Step 3: Cross multiply
    269,750.25x = 404,632.80 × 82,761.75
  4. Step 4: Simplify right side
    269,750.25x = 33,488,118,635.40
  5. Step 5: Solve for x
    x = 33,488,118,635.40/269,750.25
  6. Step 6: Final answer
    x = 124,144.90

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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.