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Finding the Fourth Proportional to 203,882, 281,357.16 and 114,458

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Solution

The fourth proportional to 203,882, 281,357.16 and 114,458 is: 157,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882 : 281,357.16 = 114,458 : x
  2. Step 2: Convert to fraction form
    203,882/281,357.16 = 114,458/x
  3. Step 3: Cross multiply
    203,882x = 281,357.16 × 114,458
  4. Step 4: Simplify right side
    203,882x = 32,203,577,819.28
  5. Step 5: Solve for x
    x = 32,203,577,819.28/203,882
  6. Step 6: Final answer
    x = 157,952.04

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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.