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Finding the Fourth Proportional to 206,561.64, 309,593.24 and 106,667.34

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Solution

The fourth proportional to 206,561.64, 309,593.24 and 106,667.34 is: 159,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,561.64 : 309,593.24 = 106,667.34 : x
  2. Step 2: Convert to fraction form
    206,561.64/309,593.24 = 106,667.34/x
  3. Step 3: Cross multiply
    206,561.64x = 309,593.24 × 106,667.34
  4. Step 4: Simplify right side
    206,561.64x = 33,023,487,392.78
  5. Step 5: Solve for x
    x = 33,023,487,392.78/206,561.64
  6. Step 6: Final answer
    x = 159,872.31

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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.