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Finding the Fourth Proportional to 222,794.80, 334,119.30 and 82,535.20

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Solution

The fourth proportional to 222,794.80, 334,119.30 and 82,535.20 is: 123,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,794.80 : 334,119.30 = 82,535.20 : x
  2. Step 2: Convert to fraction form
    222,794.80/334,119.30 = 82,535.20/x
  3. Step 3: Cross multiply
    222,794.80x = 334,119.30 × 82,535.20
  4. Step 4: Simplify right side
    222,794.80x = 27,576,603,249.36
  5. Step 5: Solve for x
    x = 27,576,603,249.36/222,794.80
  6. Step 6: Final answer
    x = 123,775.79

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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.