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Finding the Fourth Proportional to 203,728.38, 281,131.83 and 113,080.02

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Solution

The fourth proportional to 203,728.38, 281,131.83 and 113,080.02 is: 156,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728.38 : 281,131.83 = 113,080.02 : x
  2. Step 2: Convert to fraction form
    203,728.38/281,131.83 = 113,080.02/x
  3. Step 3: Cross multiply
    203,728.38x = 281,131.83 × 113,080.02
  4. Step 4: Simplify right side
    203,728.38x = 31,790,392,959.04
  5. Step 5: Solve for x
    x = 31,790,392,959.04/203,728.38
  6. Step 6: Final answer
    x = 156,043.03

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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.