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Finding the Fourth Proportional to 269,806.32, 404,694.36 and 82,817.28

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Solution

The fourth proportional to 269,806.32, 404,694.36 and 82,817.28 is: 124,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,806.32 : 404,694.36 = 82,817.28 : x
  2. Step 2: Convert to fraction form
    269,806.32/404,694.36 = 82,817.28/x
  3. Step 3: Cross multiply
    269,806.32x = 404,694.36 × 82,817.28
  4. Step 4: Simplify right side
    269,806.32x = 33,515,686,126.54
  5. Step 5: Solve for x
    x = 33,515,686,126.54/269,806.32
  6. Step 6: Final answer
    x = 124,221.28

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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.