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Finding the Fourth Proportional to 206,793.24, 309,969.32 and 117,855.24

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Solution

The fourth proportional to 206,793.24, 309,969.32 and 117,855.24 is: 176,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793.24 : 309,969.32 = 117,855.24 : x
  2. Step 2: Convert to fraction form
    206,793.24/309,969.32 = 117,855.24/x
  3. Step 3: Cross multiply
    206,793.24x = 309,969.32 × 117,855.24
  4. Step 4: Simplify right side
    206,793.24x = 36,531,508,601.24
  5. Step 5: Solve for x
    x = 36,531,508,601.24/206,793.24
  6. Step 6: Final answer
    x = 176,657.17

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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.