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Finding the Fourth Proportional to 309,553.97, 427,027.19 and 202,186.85

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Solution

The fourth proportional to 309,553.97, 427,027.19 and 202,186.85 is: 278,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,553.97 : 427,027.19 = 202,186.85 : x
  2. Step 2: Convert to fraction form
    309,553.97/427,027.19 = 202,186.85/x
  3. Step 3: Cross multiply
    309,553.97x = 427,027.19 × 202,186.85
  4. Step 4: Simplify right side
    309,553.97x = 86,339,279,264.38
  5. Step 5: Solve for x
    x = 86,339,279,264.38/309,553.97
  6. Step 6: Final answer
    x = 278,915.11

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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.