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Finding the Fourth Proportional to 120,834, 181,289.52 and 50,694.48

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Solution

The fourth proportional to 120,834, 181,289.52 and 50,694.48 is: 76,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,834 : 181,289.52 = 50,694.48 : x
  2. Step 2: Convert to fraction form
    120,834/181,289.52 = 50,694.48/x
  3. Step 3: Cross multiply
    120,834x = 181,289.52 × 50,694.48
  4. Step 4: Simplify right side
    120,834x = 9,190,377,945.85
  5. Step 5: Solve for x
    x = 9,190,377,945.85/120,834
  6. Step 6: Final answer
    x = 76,057.88

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