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Finding the Fourth Proportional to 203,882.63, 281,358.03 and 114,458.63

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Solution

The fourth proportional to 203,882.63, 281,358.03 and 114,458.63 is: 157,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.63 : 281,358.03 = 114,458.63 : x
  2. Step 2: Convert to fraction form
    203,882.63/281,358.03 = 114,458.63/x
  3. Step 3: Cross multiply
    203,882.63x = 281,358.03 × 114,458.63
  4. Step 4: Simplify right side
    203,882.63x = 32,203,853,246.51
  5. Step 5: Solve for x
    x = 32,203,853,246.51/203,882.63
  6. Step 6: Final answer
    x = 157,952.91

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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.