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Finding the Fourth Proportional to 206,883.50, 310,138.04 and 143,733.20

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Solution

The fourth proportional to 206,883.50, 310,138.04 and 143,733.20 is: 215,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.50 : 310,138.04 = 143,733.20 : x
  2. Step 2: Convert to fraction form
    206,883.50/310,138.04 = 143,733.20/x
  3. Step 3: Cross multiply
    206,883.50x = 310,138.04 × 143,733.20
  4. Step 4: Simplify right side
    206,883.50x = 44,577,132,930.93
  5. Step 5: Solve for x
    x = 44,577,132,930.93/206,883.50
  6. Step 6: Final answer
    x = 215,469.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.