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Finding the Fourth Proportional to 222,759.20, 334,138.80 and 82,499.60

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Solution

The fourth proportional to 222,759.20, 334,138.80 and 82,499.60 is: 123,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,759.20 : 334,138.80 = 82,499.60 : x
  2. Step 2: Convert to fraction form
    222,759.20/334,138.80 = 82,499.60/x
  3. Step 3: Cross multiply
    222,759.20x = 334,138.80 × 82,499.60
  4. Step 4: Simplify right side
    222,759.20x = 27,566,317,344.48
  5. Step 5: Solve for x
    x = 27,566,317,344.48/222,759.20
  6. Step 6: Final answer
    x = 123,749.40

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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.