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Finding the Fourth Proportional to 203,892.69, 281,364.10 and 113,254.44

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Solution

The fourth proportional to 203,892.69, 281,364.10 and 113,254.44 is: 156,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.69 : 281,364.10 = 113,254.44 : x
  2. Step 2: Convert to fraction form
    203,892.69/281,364.10 = 113,254.44/x
  3. Step 3: Cross multiply
    203,892.69x = 281,364.10 × 113,254.44
  4. Step 4: Simplify right side
    203,892.69x = 31,865,732,243.35
  5. Step 5: Solve for x
    x = 31,865,732,243.35/203,892.69
  6. Step 6: Final answer
    x = 156,286.78

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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.