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Finding the Fourth Proportional to 142,906.56, 197,227.31 and 82,493.41

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Solution

The fourth proportional to 142,906.56, 197,227.31 and 82,493.41 is: 113,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,906.56 : 197,227.31 = 82,493.41 : x
  2. Step 2: Convert to fraction form
    142,906.56/197,227.31 = 82,493.41/x
  3. Step 3: Cross multiply
    142,906.56x = 197,227.31 × 82,493.41
  4. Step 4: Simplify right side
    142,906.56x = 16,269,953,347.03
  5. Step 5: Solve for x
    x = 16,269,953,347.03/142,906.56
  6. Step 6: Final answer
    x = 113,850.29

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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.