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Finding the Fourth Proportional to 269,549.78, 371,974.07 and 148,702.64

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Solution

The fourth proportional to 269,549.78, 371,974.07 and 148,702.64 is: 205,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,549.78 : 371,974.07 = 148,702.64 : x
  2. Step 2: Convert to fraction form
    269,549.78/371,974.07 = 148,702.64/x
  3. Step 3: Cross multiply
    269,549.78x = 371,974.07 × 148,702.64
  4. Step 4: Simplify right side
    269,549.78x = 55,313,524,732.43
  5. Step 5: Solve for x
    x = 55,313,524,732.43/269,549.78
  6. Step 6: Final answer
    x = 205,207.09

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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.