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Finding the Fourth Proportional to 206,377.07, 284,414.72 and 160,983.14

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Solution

The fourth proportional to 206,377.07, 284,414.72 and 160,983.14 is: 221,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.07 : 284,414.72 = 160,983.14 : x
  2. Step 2: Convert to fraction form
    206,377.07/284,414.72 = 160,983.14/x
  3. Step 3: Cross multiply
    206,377.07x = 284,414.72 × 160,983.14
  4. Step 4: Simplify right side
    206,377.07x = 45,785,972,460.83
  5. Step 5: Solve for x
    x = 45,785,972,460.83/206,377.07
  6. Step 6: Final answer
    x = 221,855.91

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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.