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Finding the Fourth Proportional to 202,301.70, 303,452.55 and 52,540.80

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Solution

The fourth proportional to 202,301.70, 303,452.55 and 52,540.80 is: 78,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,301.70 : 303,452.55 = 52,540.80 : x
  2. Step 2: Convert to fraction form
    202,301.70/303,452.55 = 52,540.80/x
  3. Step 3: Cross multiply
    202,301.70x = 303,452.55 × 52,540.80
  4. Step 4: Simplify right side
    202,301.70x = 15,943,639,739.04
  5. Step 5: Solve for x
    x = 15,943,639,739.04/202,301.70
  6. Step 6: Final answer
    x = 78,811.20

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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.