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Finding the Fourth Proportional to 222,901.60, 334,352.40 and 82,631.20

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Solution

The fourth proportional to 222,901.60, 334,352.40 and 82,631.20 is: 123,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,901.60 : 334,352.40 = 82,631.20 : x
  2. Step 2: Convert to fraction form
    222,901.60/334,352.40 = 82,631.20/x
  3. Step 3: Cross multiply
    222,901.60x = 334,352.40 × 82,631.20
  4. Step 4: Simplify right side
    222,901.60x = 27,627,940,034.88
  5. Step 5: Solve for x
    x = 27,627,940,034.88/222,901.60
  6. Step 6: Final answer
    x = 123,946.80

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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.