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Finding the Fourth Proportional to 222,743.20, 307,380 and 122,141.20

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Solution

The fourth proportional to 222,743.20, 307,380 and 122,141.20 is: 168,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,743.20 : 307,380 = 122,141.20 : x
  2. Step 2: Convert to fraction form
    222,743.20/307,380 = 122,141.20/x
  3. Step 3: Cross multiply
    222,743.20x = 307,380 × 122,141.20
  4. Step 4: Simplify right side
    222,743.20x = 37,543,762,056
  5. Step 5: Solve for x
    x = 37,543,762,056/222,743.20
  6. Step 6: Final answer
    x = 168,551.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.