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Finding the Fourth Proportional to 207,449.20, 311,190.16 and 102,210.80

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Solution

The fourth proportional to 207,449.20, 311,190.16 and 102,210.80 is: 153,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,449.20 : 311,190.16 = 102,210.80 : x
  2. Step 2: Convert to fraction form
    207,449.20/311,190.16 = 102,210.80/x
  3. Step 3: Cross multiply
    207,449.20x = 311,190.16 × 102,210.80
  4. Step 4: Simplify right side
    207,449.20x = 31,806,995,205.73
  5. Step 5: Solve for x
    x = 31,806,995,205.73/207,449.20
  6. Step 6: Final answer
    x = 153,324.26

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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.