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Finding the Fourth Proportional to 203,868.50, 281,338.26 and 113,238

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Solution

The fourth proportional to 203,868.50, 281,338.26 and 113,238 is: 156,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868.50 : 281,338.26 = 113,238 : x
  2. Step 2: Convert to fraction form
    203,868.50/281,338.26 = 113,238/x
  3. Step 3: Cross multiply
    203,868.50x = 281,338.26 × 113,238
  4. Step 4: Simplify right side
    203,868.50x = 31,858,182,098.20
  5. Step 5: Solve for x
    x = 31,858,182,098.20/203,868.50
  6. Step 6: Final answer
    x = 156,268.29

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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.