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Finding the Fourth Proportional to 202,198.62, 303,084.42 and 75,756.24

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Solution

The fourth proportional to 202,198.62, 303,084.42 and 75,756.24 is: 113,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.62 : 303,084.42 = 75,756.24 : x
  2. Step 2: Convert to fraction form
    202,198.62/303,084.42 = 75,756.24/x
  3. Step 3: Cross multiply
    202,198.62x = 303,084.42 × 75,756.24
  4. Step 4: Simplify right side
    202,198.62x = 22,960,536,061.78
  5. Step 5: Solve for x
    x = 22,960,536,061.78/202,198.62
  6. Step 6: Final answer
    x = 113,554.37

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1.5x scale

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.