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Finding the Fourth Proportional to 102,769.20, 154,240.20 and 50,223.60

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Solution

The fourth proportional to 102,769.20, 154,240.20 and 50,223.60 is: 75,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769.20 : 154,240.20 = 50,223.60 : x
  2. Step 2: Convert to fraction form
    102,769.20/154,240.20 = 50,223.60/x
  3. Step 3: Cross multiply
    102,769.20x = 154,240.20 × 50,223.60
  4. Step 4: Simplify right side
    102,769.20x = 7,746,498,108.72
  5. Step 5: Solve for x
    x = 7,746,498,108.72/102,769.20
  6. Step 6: Final answer
    x = 75,377.62

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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.