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Finding the Fourth Proportional to 203,887.46, 281,365.38 and 113,243.42

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Solution

The fourth proportional to 203,887.46, 281,365.38 and 113,243.42 is: 156,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,887.46 : 281,365.38 = 113,243.42 : x
  2. Step 2: Convert to fraction form
    203,887.46/281,365.38 = 113,243.42/x
  3. Step 3: Cross multiply
    203,887.46x = 281,365.38 × 113,243.42
  4. Step 4: Simplify right side
    203,887.46x = 31,862,777,900.80
  5. Step 5: Solve for x
    x = 31,862,777,900.80/203,887.46
  6. Step 6: Final answer
    x = 156,276.30

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Why These Related Problems?

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