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Finding the Fourth Proportional to 192,114.60, 288,222.30 and 73,789.80

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Solution

The fourth proportional to 192,114.60, 288,222.30 and 73,789.80 is: 110,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,114.60 : 288,222.30 = 73,789.80 : x
  2. Step 2: Convert to fraction form
    192,114.60/288,222.30 = 73,789.80/x
  3. Step 3: Cross multiply
    192,114.60x = 288,222.30 × 73,789.80
  4. Step 4: Simplify right side
    192,114.60x = 21,267,865,872.54
  5. Step 5: Solve for x
    x = 21,267,865,872.54/192,114.60
  6. Step 6: Final answer
    x = 110,704.06

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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.