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Finding the Fourth Proportional to 192,872.33, 289,354.68 and 80,490.03

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Solution

The fourth proportional to 192,872.33, 289,354.68 and 80,490.03 is: 120,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,872.33 : 289,354.68 = 80,490.03 : x
  2. Step 2: Convert to fraction form
    192,872.33/289,354.68 = 80,490.03/x
  3. Step 3: Cross multiply
    192,872.33x = 289,354.68 × 80,490.03
  4. Step 4: Simplify right side
    192,872.33x = 23,290,166,873.84
  5. Step 5: Solve for x
    x = 23,290,166,873.84/192,872.33
  6. Step 6: Final answer
    x = 120,754.32

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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.