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Finding the Fourth Proportional to 269,046.30, 371,286.41 and 148,188.02

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Solution

The fourth proportional to 269,046.30, 371,286.41 and 148,188.02 is: 204,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,046.30 : 371,286.41 = 148,188.02 : x
  2. Step 2: Convert to fraction form
    269,046.30/371,286.41 = 148,188.02/x
  3. Step 3: Cross multiply
    269,046.30x = 371,286.41 × 148,188.02
  4. Step 4: Simplify right side
    269,046.30x = 55,020,198,138.08
  5. Step 5: Solve for x
    x = 55,020,198,138.08/269,046.30
  6. Step 6: Final answer
    x = 204,500.85

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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.