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Finding the Fourth Proportional to 269,713.31, 404,570.05 and 92,221.97

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Solution

The fourth proportional to 269,713.31, 404,570.05 and 92,221.97 is: 138,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,713.31 : 404,570.05 = 92,221.97 : x
  2. Step 2: Convert to fraction form
    269,713.31/404,570.05 = 92,221.97/x
  3. Step 3: Cross multiply
    269,713.31x = 404,570.05 × 92,221.97
  4. Step 4: Simplify right side
    269,713.31x = 37,310,244,760.59
  5. Step 5: Solve for x
    x = 37,310,244,760.59/269,713.31
  6. Step 6: Final answer
    x = 138,332.98

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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.