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Finding the Fourth Proportional to 206,469.29, 309,667.03 and 131,366.34

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Solution

The fourth proportional to 206,469.29, 309,667.03 and 131,366.34 is: 197,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.29 : 309,667.03 = 131,366.34 : x
  2. Step 2: Convert to fraction form
    206,469.29/309,667.03 = 131,366.34/x
  3. Step 3: Cross multiply
    206,469.29x = 309,667.03 × 131,366.34
  4. Step 4: Simplify right side
    206,469.29x = 40,679,824,186.31
  5. Step 5: Solve for x
    x = 40,679,824,186.31/206,469.29
  6. Step 6: Final answer
    x = 197,026.03

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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.