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Finding the Fourth Proportional to 206,108.90, 309,163.35 and 185,769.80

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Solution

The fourth proportional to 206,108.90, 309,163.35 and 185,769.80 is: 278,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108.90 : 309,163.35 = 185,769.80 : x
  2. Step 2: Convert to fraction form
    206,108.90/309,163.35 = 185,769.80/x
  3. Step 3: Cross multiply
    206,108.90x = 309,163.35 × 185,769.80
  4. Step 4: Simplify right side
    206,108.90x = 57,433,213,696.83
  5. Step 5: Solve for x
    x = 57,433,213,696.83/206,108.90
  6. Step 6: Final answer
    x = 278,654.70

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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.