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Finding the Fourth Proportional to 206,744.83, 285,338.72 and 126,219.04

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Solution

The fourth proportional to 206,744.83, 285,338.72 and 126,219.04 is: 174,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744.83 : 285,338.72 = 126,219.04 : x
  2. Step 2: Convert to fraction form
    206,744.83/285,338.72 = 126,219.04/x
  3. Step 3: Cross multiply
    206,744.83x = 285,338.72 × 126,219.04
  4. Step 4: Simplify right side
    206,744.83x = 36,015,178,915.43
  5. Step 5: Solve for x
    x = 36,015,178,915.43/206,744.83
  6. Step 6: Final answer
    x = 174,201.11

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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.