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Finding the Fourth Proportional to 202,301.20, 303,451.80 and 52,540.30

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Solution

The fourth proportional to 202,301.20, 303,451.80 and 52,540.30 is: 78,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,301.20 : 303,451.80 = 52,540.30 : x
  2. Step 2: Convert to fraction form
    202,301.20/303,451.80 = 52,540.30/x
  3. Step 3: Cross multiply
    202,301.20x = 303,451.80 × 52,540.30
  4. Step 4: Simplify right side
    202,301.20x = 15,943,448,607.54
  5. Step 5: Solve for x
    x = 15,943,448,607.54/202,301.20
  6. Step 6: Final answer
    x = 78,810.45

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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.