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Finding the Fourth Proportional to 137,843.90, 206,771.12 and 43,082.82

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Solution

The fourth proportional to 137,843.90, 206,771.12 and 43,082.82 is: 64,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,843.90 : 206,771.12 = 43,082.82 : x
  2. Step 2: Convert to fraction form
    137,843.90/206,771.12 = 43,082.82/x
  3. Step 3: Cross multiply
    137,843.90x = 206,771.12 × 43,082.82
  4. Step 4: Simplify right side
    137,843.90x = 8,908,282,944.16
  5. Step 5: Solve for x
    x = 8,908,282,944.16/137,843.90
  6. Step 6: Final answer
    x = 64,625.88

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Why These Related Problems?

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