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Finding the Fourth Proportional to 192,035.20, 288,052.80 and 174,524.80

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Solution

The fourth proportional to 192,035.20, 288,052.80 and 174,524.80 is: 261,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,035.20 : 288,052.80 = 174,524.80 : x
  2. Step 2: Convert to fraction form
    192,035.20/288,052.80 = 174,524.80/x
  3. Step 3: Cross multiply
    192,035.20x = 288,052.80 × 174,524.80
  4. Step 4: Simplify right side
    192,035.20x = 50,272,357,309.44
  5. Step 5: Solve for x
    x = 50,272,357,309.44/192,035.20
  6. Step 6: Final answer
    x = 261,787.20

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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.