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Finding the Fourth Proportional to 140,797.56, 194,361.48 and 84,198

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Solution

The fourth proportional to 140,797.56, 194,361.48 and 84,198 is: 116,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,797.56 : 194,361.48 = 84,198 : x
  2. Step 2: Convert to fraction form
    140,797.56/194,361.48 = 84,198/x
  3. Step 3: Cross multiply
    140,797.56x = 194,361.48 × 84,198
  4. Step 4: Simplify right side
    140,797.56x = 16,364,847,893.04
  5. Step 5: Solve for x
    x = 16,364,847,893.04/140,797.56
  6. Step 6: Final answer
    x = 116,229.63

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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.