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Finding the Fourth Proportional to 203,885.38, 281,361.83 and 114,461.38

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Solution

The fourth proportional to 203,885.38, 281,361.83 and 114,461.38 is: 157,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,885.38 : 281,361.83 = 114,461.38 : x
  2. Step 2: Convert to fraction form
    203,885.38/281,361.83 = 114,461.38/x
  3. Step 3: Cross multiply
    203,885.38x = 281,361.83 × 114,461.38
  4. Step 4: Simplify right side
    203,885.38x = 32,205,061,362.01
  5. Step 5: Solve for x
    x = 32,205,061,362.01/203,885.38
  6. Step 6: Final answer
    x = 157,956.70

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1.5x scale

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.