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Finding the Fourth Proportional to 164,755.70, 246,936.72 and 75,919.76

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Solution

The fourth proportional to 164,755.70, 246,936.72 and 75,919.76 is: 113,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,755.70 : 246,936.72 = 75,919.76 : x
  2. Step 2: Convert to fraction form
    164,755.70/246,936.72 = 75,919.76/x
  3. Step 3: Cross multiply
    164,755.70x = 246,936.72 × 75,919.76
  4. Step 4: Simplify right side
    164,755.70x = 18,747,376,517.59
  5. Step 5: Solve for x
    x = 18,747,376,517.59/164,755.70
  6. Step 6: Final answer
    x = 113,788.94

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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.