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Finding the Fourth Proportional to 202,568.80, 303,853.20 and 143,471.20

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Solution

The fourth proportional to 202,568.80, 303,853.20 and 143,471.20 is: 215,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,568.80 : 303,853.20 = 143,471.20 : x
  2. Step 2: Convert to fraction form
    202,568.80/303,853.20 = 143,471.20/x
  3. Step 3: Cross multiply
    202,568.80x = 303,853.20 × 143,471.20
  4. Step 4: Simplify right side
    202,568.80x = 43,594,183,227.84
  5. Step 5: Solve for x
    x = 43,594,183,227.84/202,568.80
  6. Step 6: Final answer
    x = 215,206.80

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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.