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Finding the Fourth Proportional to 202,999.20, 304,498.80 and 192,112.80

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Solution

The fourth proportional to 202,999.20, 304,498.80 and 192,112.80 is: 288,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,999.20 : 304,498.80 = 192,112.80 : x
  2. Step 2: Convert to fraction form
    202,999.20/304,498.80 = 192,112.80/x
  3. Step 3: Cross multiply
    202,999.20x = 304,498.80 × 192,112.80
  4. Step 4: Simplify right side
    202,999.20x = 58,498,117,064.64
  5. Step 5: Solve for x
    x = 58,498,117,064.64/202,999.20
  6. Step 6: Final answer
    x = 288,169.20

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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.