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Finding the Fourth Proportional to 269,637.78, 404,442.09 and 82,649.82

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Solution

The fourth proportional to 269,637.78, 404,442.09 and 82,649.82 is: 123,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,637.78 : 404,442.09 = 82,649.82 : x
  2. Step 2: Convert to fraction form
    269,637.78/404,442.09 = 82,649.82/x
  3. Step 3: Cross multiply
    269,637.78x = 404,442.09 × 82,649.82
  4. Step 4: Simplify right side
    269,637.78x = 33,427,065,938.92
  5. Step 5: Solve for x
    x = 33,427,065,938.92/269,637.78
  6. Step 6: Final answer
    x = 123,970.26

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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.