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Finding the Fourth Proportional to 206,309.29, 284,707.55 and 129,878.96

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Solution

The fourth proportional to 206,309.29, 284,707.55 and 129,878.96 is: 179,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,309.29 : 284,707.55 = 129,878.96 : x
  2. Step 2: Convert to fraction form
    206,309.29/284,707.55 = 129,878.96/x
  3. Step 3: Cross multiply
    206,309.29x = 284,707.55 × 129,878.96
  4. Step 4: Simplify right side
    206,309.29x = 36,977,520,498.15
  5. Step 5: Solve for x
    x = 36,977,520,498.15/206,309.29
  6. Step 6: Final answer
    x = 179,233.42

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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.