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Finding the Fourth Proportional to 202,328.80, 303,838.80 and 132,517.60

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Solution

The fourth proportional to 202,328.80, 303,838.80 and 132,517.60 is: 199,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328.80 : 303,838.80 = 132,517.60 : x
  2. Step 2: Convert to fraction form
    202,328.80/303,838.80 = 132,517.60/x
  3. Step 3: Cross multiply
    202,328.80x = 303,838.80 × 132,517.60
  4. Step 4: Simplify right side
    202,328.80x = 40,263,988,562.88
  5. Step 5: Solve for x
    x = 40,263,988,562.88/202,328.80
  6. Step 6: Final answer
    x = 199,002.75

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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.