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Finding the Fourth Proportional to 222,884.73, 334,414.67 and 98,138.25

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Solution

The fourth proportional to 222,884.73, 334,414.67 and 98,138.25 is: 147,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,884.73 : 334,414.67 = 98,138.25 : x
  2. Step 2: Convert to fraction form
    222,884.73/334,414.67 = 98,138.25/x
  3. Step 3: Cross multiply
    222,884.73x = 334,414.67 × 98,138.25
  4. Step 4: Simplify right side
    222,884.73x = 32,818,869,997.44
  5. Step 5: Solve for x
    x = 32,818,869,997.44/222,884.73
  6. Step 6: Final answer
    x = 147,245.93

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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.