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Finding the Fourth Proportional to 206,441.56, 284,784.33 and 134,863.48

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Solution

The fourth proportional to 206,441.56, 284,784.33 and 134,863.48 is: 186,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,441.56 : 284,784.33 = 134,863.48 : x
  2. Step 2: Convert to fraction form
    206,441.56/284,784.33 = 134,863.48/x
  3. Step 3: Cross multiply
    206,441.56x = 284,784.33 × 134,863.48
  4. Step 4: Simplify right side
    206,441.56x = 38,407,005,793.27
  5. Step 5: Solve for x
    x = 38,407,005,793.27/206,441.56
  6. Step 6: Final answer
    x = 186,042.99

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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.