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Finding the Fourth Proportional to 129,469.88, 194,204.82 and 74,027

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Solution

The fourth proportional to 129,469.88, 194,204.82 and 74,027 is: 111,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,469.88 : 194,204.82 = 74,027 : x
  2. Step 2: Convert to fraction form
    129,469.88/194,204.82 = 74,027/x
  3. Step 3: Cross multiply
    129,469.88x = 194,204.82 × 74,027
  4. Step 4: Simplify right side
    129,469.88x = 14,376,400,210.14
  5. Step 5: Solve for x
    x = 14,376,400,210.14/129,469.88
  6. Step 6: Final answer
    x = 111,040.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.