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Finding the Fourth Proportional to 269,481.78, 404,222.67 and 82,468.98

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Solution

The fourth proportional to 269,481.78, 404,222.67 and 82,468.98 is: 123,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,481.78 : 404,222.67 = 82,468.98 : x
  2. Step 2: Convert to fraction form
    269,481.78/404,222.67 = 82,468.98/x
  3. Step 3: Cross multiply
    269,481.78x = 404,222.67 × 82,468.98
  4. Step 4: Simplify right side
    269,481.78x = 33,335,831,287.78
  5. Step 5: Solve for x
    x = 33,335,831,287.78/269,481.78
  6. Step 6: Final answer
    x = 123,703.47

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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.