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Finding the Fourth Proportional to 192,812.52, 289,245.72 and 80,467.02

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Solution

The fourth proportional to 192,812.52, 289,245.72 and 80,467.02 is: 120,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.52 : 289,245.72 = 80,467.02 : x
  2. Step 2: Convert to fraction form
    192,812.52/289,245.72 = 80,467.02/x
  3. Step 3: Cross multiply
    192,812.52x = 289,245.72 × 80,467.02
  4. Step 4: Simplify right side
    192,812.52x = 23,274,741,437.91
  5. Step 5: Solve for x
    x = 23,274,741,437.91/192,812.52
  6. Step 6: Final answer
    x = 120,711.77

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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.