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Finding the Fourth Proportional to 206,826.80, 285,451.88 and 126,301.01

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Solution

The fourth proportional to 206,826.80, 285,451.88 and 126,301.01 is: 174,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,826.80 : 285,451.88 = 126,301.01 : x
  2. Step 2: Convert to fraction form
    206,826.80/285,451.88 = 126,301.01/x
  3. Step 3: Cross multiply
    206,826.80x = 285,451.88 × 126,301.01
  4. Step 4: Simplify right side
    206,826.80x = 36,052,858,691.63
  5. Step 5: Solve for x
    x = 36,052,858,691.63/206,826.80
  6. Step 6: Final answer
    x = 174,314.26

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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.