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Finding the Fourth Proportional to 202,512.80, 303,769.20 and 143,415.20

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Solution

The fourth proportional to 202,512.80, 303,769.20 and 143,415.20 is: 215,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,512.80 : 303,769.20 = 143,415.20 : x
  2. Step 2: Convert to fraction form
    202,512.80/303,769.20 = 143,415.20/x
  3. Step 3: Cross multiply
    202,512.80x = 303,769.20 × 143,415.20
  4. Step 4: Simplify right side
    202,512.80x = 43,565,120,571.84
  5. Step 5: Solve for x
    x = 43,565,120,571.84/202,512.80
  6. Step 6: Final answer
    x = 215,122.80

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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.