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Finding the Fourth Proportional to 203,921.98, 281,452.61 and 130,287.31

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Solution

The fourth proportional to 203,921.98, 281,452.61 and 130,287.31 is: 179,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,921.98 : 281,452.61 = 130,287.31 : x
  2. Step 2: Convert to fraction form
    203,921.98/281,452.61 = 130,287.31/x
  3. Step 3: Cross multiply
    203,921.98x = 281,452.61 × 130,287.31
  4. Step 4: Simplify right side
    203,921.98x = 36,669,703,449.38
  5. Step 5: Solve for x
    x = 36,669,703,449.38/203,921.98
  6. Step 6: Final answer
    x = 179,822.22

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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.