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Finding the Fourth Proportional to 269,003.26, 371,221.71 and 148,141.97

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Solution

The fourth proportional to 269,003.26, 371,221.71 and 148,141.97 is: 204,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,003.26 : 371,221.71 = 148,141.97 : x
  2. Step 2: Convert to fraction form
    269,003.26/371,221.71 = 148,141.97/x
  3. Step 3: Cross multiply
    269,003.26x = 371,221.71 × 148,141.97
  4. Step 4: Simplify right side
    269,003.26x = 54,993,514,406.61
  5. Step 5: Solve for x
    x = 54,993,514,406.61/269,003.26
  6. Step 6: Final answer
    x = 204,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.