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Finding the Fourth Proportional to 222,892.94, 334,338.23 and 54,414.15

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Solution

The fourth proportional to 222,892.94, 334,338.23 and 54,414.15 is: 81,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,892.94 : 334,338.23 = 54,414.15 : x
  2. Step 2: Convert to fraction form
    222,892.94/334,338.23 = 54,414.15/x
  3. Step 3: Cross multiply
    222,892.94x = 334,338.23 × 54,414.15
  4. Step 4: Simplify right side
    222,892.94x = 18,192,730,325.88
  5. Step 5: Solve for x
    x = 18,192,730,325.88/222,892.94
  6. Step 6: Final answer
    x = 81,620.94

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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.