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Finding the Fourth Proportional to 269,229.30, 371,538.96 and 148,375

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Solution

The fourth proportional to 269,229.30, 371,538.96 and 148,375 is: 204,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,229.30 : 371,538.96 = 148,375 : x
  2. Step 2: Convert to fraction form
    269,229.30/371,538.96 = 148,375/x
  3. Step 3: Cross multiply
    269,229.30x = 371,538.96 × 148,375
  4. Step 4: Simplify right side
    269,229.30x = 55,127,093,190
  5. Step 5: Solve for x
    x = 55,127,093,190/269,229.30
  6. Step 6: Final answer
    x = 204,758.89

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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.