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Finding the Fourth Proportional to 206,346.93, 284,637.84 and 129,744.63

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Solution

The fourth proportional to 206,346.93, 284,637.84 and 129,744.63 is: 178,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,346.93 : 284,637.84 = 129,744.63 : x
  2. Step 2: Convert to fraction form
    206,346.93/284,637.84 = 129,744.63/x
  3. Step 3: Cross multiply
    206,346.93x = 284,637.84 × 129,744.63
  4. Step 4: Simplify right side
    206,346.93x = 36,930,231,234.80
  5. Step 5: Solve for x
    x = 36,930,231,234.80/206,346.93
  6. Step 6: Final answer
    x = 178,971.56

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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.