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Finding the Fourth Proportional to 206,785.72, 285,395.70 and 126,260.20

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Solution

The fourth proportional to 206,785.72, 285,395.70 and 126,260.20 is: 174,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.72 : 285,395.70 = 126,260.20 : x
  2. Step 2: Convert to fraction form
    206,785.72/285,395.70 = 126,260.20/x
  3. Step 3: Cross multiply
    206,785.72x = 285,395.70 × 126,260.20
  4. Step 4: Simplify right side
    206,785.72x = 36,034,118,161.14
  5. Step 5: Solve for x
    x = 36,034,118,161.14/206,785.72
  6. Step 6: Final answer
    x = 174,258.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.