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Finding the Fourth Proportional to 222,757.24, 307,377.44 and 142,231.90

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Solution

The fourth proportional to 222,757.24, 307,377.44 and 142,231.90 is: 196,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,757.24 : 307,377.44 = 142,231.90 : x
  2. Step 2: Convert to fraction form
    222,757.24/307,377.44 = 142,231.90/x
  3. Step 3: Cross multiply
    222,757.24x = 307,377.44 × 142,231.90
  4. Step 4: Simplify right side
    222,757.24x = 43,718,877,308.34
  5. Step 5: Solve for x
    x = 43,718,877,308.34/222,757.24
  6. Step 6: Final answer
    x = 196,262.43

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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.