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Finding the Fourth Proportional to 203,720.56, 281,120.74 and 123,192.49

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Solution

The fourth proportional to 203,720.56, 281,120.74 and 123,192.49 is: 169,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,720.56 : 281,120.74 = 123,192.49 : x
  2. Step 2: Convert to fraction form
    203,720.56/281,120.74 = 123,192.49/x
  3. Step 3: Cross multiply
    203,720.56x = 281,120.74 × 123,192.49
  4. Step 4: Simplify right side
    203,720.56x = 34,631,962,940.46
  5. Step 5: Solve for x
    x = 34,631,962,940.46/203,720.56
  6. Step 6: Final answer
    x = 169,997.39

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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.