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Finding the Fourth Proportional to 206,363.92, 284,843.04 and 134,755.12

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Solution

The fourth proportional to 206,363.92, 284,843.04 and 134,755.12 is: 186,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,363.92 : 284,843.04 = 134,755.12 : x
  2. Step 2: Convert to fraction form
    206,363.92/284,843.04 = 134,755.12/x
  3. Step 3: Cross multiply
    206,363.92x = 284,843.04 × 134,755.12
  4. Step 4: Simplify right side
    206,363.92x = 38,384,058,036.36
  5. Step 5: Solve for x
    x = 38,384,058,036.36/206,363.92
  6. Step 6: Final answer
    x = 186,001.79

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1.5x scale

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.