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Finding the Fourth Proportional to 206,730.72, 285,319.62 and 126,205.20

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Solution

The fourth proportional to 206,730.72, 285,319.62 and 126,205.20 is: 174,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,730.72 : 285,319.62 = 126,205.20 : x
  2. Step 2: Convert to fraction form
    206,730.72/285,319.62 = 126,205.20/x
  3. Step 3: Cross multiply
    206,730.72x = 285,319.62 × 126,205.20
  4. Step 4: Simplify right side
    206,730.72x = 36,008,819,706.02
  5. Step 5: Solve for x
    x = 36,008,819,706.02/206,730.72
  6. Step 6: Final answer
    x = 174,182.24

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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.