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Finding the Fourth Proportional to 203,744.43, 281,168.42 and 113,098.95

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Solution

The fourth proportional to 203,744.43, 281,168.42 and 113,098.95 is: 156,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.43 : 281,168.42 = 113,098.95 : x
  2. Step 2: Convert to fraction form
    203,744.43/281,168.42 = 113,098.95/x
  3. Step 3: Cross multiply
    203,744.43x = 281,168.42 × 113,098.95
  4. Step 4: Simplify right side
    203,744.43x = 31,799,852,509.66
  5. Step 5: Solve for x
    x = 31,799,852,509.66/203,744.43
  6. Step 6: Final answer
    x = 156,077.16

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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.