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Finding the Fourth Proportional to 202,251.16, 303,297.88 and 75,822.48

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Solution

The fourth proportional to 202,251.16, 303,297.88 and 75,822.48 is: 113,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,251.16 : 303,297.88 = 75,822.48 : x
  2. Step 2: Convert to fraction form
    202,251.16/303,297.88 = 75,822.48/x
  3. Step 3: Cross multiply
    202,251.16x = 303,297.88 × 75,822.48
  4. Step 4: Simplify right side
    202,251.16x = 22,996,797,440.34
  5. Step 5: Solve for x
    x = 22,996,797,440.34/202,251.16
  6. Step 6: Final answer
    x = 113,704.16

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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.