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Finding the Fourth Proportional to 269,270.78, 403,891.55 and 82,282.28

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Solution

The fourth proportional to 269,270.78, 403,891.55 and 82,282.28 is: 123,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,270.78 : 403,891.55 = 82,282.28 : x
  2. Step 2: Convert to fraction form
    269,270.78/403,891.55 = 82,282.28/x
  3. Step 3: Cross multiply
    269,270.78x = 403,891.55 × 82,282.28
  4. Step 4: Simplify right side
    269,270.78x = 33,233,117,195.32
  5. Step 5: Solve for x
    x = 33,233,117,195.32/269,270.78
  6. Step 6: Final answer
    x = 123,418.95

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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.