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Finding the Fourth Proportional to 192,132.80, 288,112.80 and 73,764.80

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Solution

The fourth proportional to 192,132.80, 288,112.80 and 73,764.80 is: 110,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,132.80 : 288,112.80 = 73,764.80 : x
  2. Step 2: Convert to fraction form
    192,132.80/288,112.80 = 73,764.80/x
  3. Step 3: Cross multiply
    192,132.80x = 288,112.80 × 73,764.80
  4. Step 4: Simplify right side
    192,132.80x = 21,252,583,069.44
  5. Step 5: Solve for x
    x = 21,252,583,069.44/192,132.80
  6. Step 6: Final answer
    x = 110,614.03

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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.