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Finding the Fourth Proportional to 141,125.78, 194,755.78 and 77,469.38

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Solution

The fourth proportional to 141,125.78, 194,755.78 and 77,469.38 is: 106,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,125.78 : 194,755.78 = 77,469.38 : x
  2. Step 2: Convert to fraction form
    141,125.78/194,755.78 = 77,469.38/x
  3. Step 3: Cross multiply
    141,125.78x = 194,755.78 × 77,469.38
  4. Step 4: Simplify right side
    141,125.78x = 15,087,608,360.56
  5. Step 5: Solve for x
    x = 15,087,608,360.56/141,125.78
  6. Step 6: Final answer
    x = 106,908.95

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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.