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Finding the Fourth Proportional to 269,185.70, 403,778.55 and 206,200.10

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Solution

The fourth proportional to 269,185.70, 403,778.55 and 206,200.10 is: 309,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,185.70 : 403,778.55 = 206,200.10 : x
  2. Step 2: Convert to fraction form
    269,185.70/403,778.55 = 206,200.10/x
  3. Step 3: Cross multiply
    269,185.70x = 403,778.55 × 206,200.10
  4. Step 4: Simplify right side
    269,185.70x = 83,259,177,387.86
  5. Step 5: Solve for x
    x = 83,259,177,387.86/269,185.70
  6. Step 6: Final answer
    x = 309,300.15

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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.