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Finding the Fourth Proportional to 225,846.20, 338,550.60 and 202,226.60

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Solution

The fourth proportional to 225,846.20, 338,550.60 and 202,226.60 is: 303,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,846.20 : 338,550.60 = 202,226.60 : x
  2. Step 2: Convert to fraction form
    225,846.20/338,550.60 = 202,226.60/x
  3. Step 3: Cross multiply
    225,846.20x = 338,550.60 × 202,226.60
  4. Step 4: Simplify right side
    225,846.20x = 68,463,936,765.96
  5. Step 5: Solve for x
    x = 68,463,936,765.96/225,846.20
  6. Step 6: Final answer
    x = 303,144.07

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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.