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Finding the Fourth Proportional to 222,896.70, 334,343.82 and 54,417.90

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Solution

The fourth proportional to 222,896.70, 334,343.82 and 54,417.90 is: 81,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,896.70 : 334,343.82 = 54,417.90 : x
  2. Step 2: Convert to fraction form
    222,896.70/334,343.82 = 54,417.90/x
  3. Step 3: Cross multiply
    222,896.70x = 334,343.82 × 54,417.90
  4. Step 4: Simplify right side
    222,896.70x = 18,194,288,562.38
  5. Step 5: Solve for x
    x = 18,194,288,562.38/222,896.70
  6. Step 6: Final answer
    x = 81,626.55

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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.