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Finding the Fourth Proportional to 203,885, 281,361.30 and 114,461

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Solution

The fourth proportional to 203,885, 281,361.30 and 114,461 is: 157,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,885 : 281,361.30 = 114,461 : x
  2. Step 2: Convert to fraction form
    203,885/281,361.30 = 114,461/x
  3. Step 3: Cross multiply
    203,885x = 281,361.30 × 114,461
  4. Step 4: Simplify right side
    203,885x = 32,204,895,759.30
  5. Step 5: Solve for x
    x = 32,204,895,759.30/203,885
  6. Step 6: Final answer
    x = 157,956.18

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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.