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Finding the Fourth Proportional to 203,893.69, 281,365.48 and 113,255.44

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Solution

The fourth proportional to 203,893.69, 281,365.48 and 113,255.44 is: 156,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,893.69 : 281,365.48 = 113,255.44 : x
  2. Step 2: Convert to fraction form
    203,893.69/281,365.48 = 113,255.44/x
  3. Step 3: Cross multiply
    203,893.69x = 281,365.48 × 113,255.44
  4. Step 4: Simplify right side
    203,893.69x = 31,866,171,238.21
  5. Step 5: Solve for x
    x = 31,866,171,238.21/203,893.69
  6. Step 6: Final answer
    x = 156,288.17

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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.