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Finding the Fourth Proportional to 202,229.20, 303,343.80 and 54,485.20

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Solution

The fourth proportional to 202,229.20, 303,343.80 and 54,485.20 is: 81,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.20 : 303,343.80 = 54,485.20 : x
  2. Step 2: Convert to fraction form
    202,229.20/303,343.80 = 54,485.20/x
  3. Step 3: Cross multiply
    202,229.20x = 303,343.80 × 54,485.20
  4. Step 4: Simplify right side
    202,229.20x = 16,527,747,611.76
  5. Step 5: Solve for x
    x = 16,527,747,611.76/202,229.20
  6. Step 6: Final answer
    x = 81,727.80

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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.