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Finding the Fourth Proportional to 269,183.70, 403,775.55 and 206,198.10

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Solution

The fourth proportional to 269,183.70, 403,775.55 and 206,198.10 is: 309,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,183.70 : 403,775.55 = 206,198.10 : x
  2. Step 2: Convert to fraction form
    269,183.70/403,775.55 = 206,198.10/x
  3. Step 3: Cross multiply
    269,183.70x = 403,775.55 × 206,198.10
  4. Step 4: Simplify right side
    269,183.70x = 83,257,751,236.46
  5. Step 5: Solve for x
    x = 83,257,751,236.46/269,183.70
  6. Step 6: Final answer
    x = 309,297.15

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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.