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Finding the Fourth Proportional to 206,229.80, 308,945.67 and 115,998.40

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Solution

The fourth proportional to 206,229.80, 308,945.67 and 115,998.40 is: 173,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,229.80 : 308,945.67 = 115,998.40 : x
  2. Step 2: Convert to fraction form
    206,229.80/308,945.67 = 115,998.40/x
  3. Step 3: Cross multiply
    206,229.80x = 308,945.67 × 115,998.40
  4. Step 4: Simplify right side
    206,229.80x = 35,837,203,406.93
  5. Step 5: Solve for x
    x = 35,837,203,406.93/206,229.80
  6. Step 6: Final answer
    x = 173,773.16

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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.