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Finding the Fourth Proportional to 192,614.96, 288,975.60 and 80,347.95

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Solution

The fourth proportional to 192,614.96, 288,975.60 and 80,347.95 is: 120,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,614.96 : 288,975.60 = 80,347.95 : x
  2. Step 2: Convert to fraction form
    192,614.96/288,975.60 = 80,347.95/x
  3. Step 3: Cross multiply
    192,614.96x = 288,975.60 × 80,347.95
  4. Step 4: Simplify right side
    192,614.96x = 23,218,597,060.02
  5. Step 5: Solve for x
    x = 23,218,597,060.02/192,614.96
  6. Step 6: Final answer
    x = 120,544.10

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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.