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Finding the Fourth Proportional to 202,996.20, 304,494.30 and 192,109.80

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Solution

The fourth proportional to 202,996.20, 304,494.30 and 192,109.80 is: 288,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996.20 : 304,494.30 = 192,109.80 : x
  2. Step 2: Convert to fraction form
    202,996.20/304,494.30 = 192,109.80/x
  3. Step 3: Cross multiply
    202,996.20x = 304,494.30 × 192,109.80
  4. Step 4: Simplify right side
    202,996.20x = 58,496,339,074.14
  5. Step 5: Solve for x
    x = 58,496,339,074.14/202,996.20
  6. Step 6: Final answer
    x = 288,164.70

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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.