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Finding the Fourth Proportional to 257,101.40, 354,757.75 and 161,540.44

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Solution

The fourth proportional to 257,101.40, 354,757.75 and 161,540.44 is: 222,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,101.40 : 354,757.75 = 161,540.44 : x
  2. Step 2: Convert to fraction form
    257,101.40/354,757.75 = 161,540.44/x
  3. Step 3: Cross multiply
    257,101.40x = 354,757.75 × 161,540.44
  4. Step 4: Simplify right side
    257,101.40x = 57,307,721,737.66
  5. Step 5: Solve for x
    x = 57,307,721,737.66/257,101.40
  6. Step 6: Final answer
    x = 222,899.30

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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.