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Finding the Fourth Proportional to 123,946.50, 185,921.92 and 50,074.50

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Solution

The fourth proportional to 123,946.50, 185,921.92 and 50,074.50 is: 75,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,946.50 : 185,921.92 = 50,074.50 : x
  2. Step 2: Convert to fraction form
    123,946.50/185,921.92 = 50,074.50/x
  3. Step 3: Cross multiply
    123,946.50x = 185,921.92 × 50,074.50
  4. Step 4: Simplify right side
    123,946.50x = 9,309,947,183.04
  5. Step 5: Solve for x
    x = 9,309,947,183.04/123,946.50
  6. Step 6: Final answer
    x = 75,112.63

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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.