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Finding the Fourth Proportional to 192,768.40, 289,235.30 and 74,522.78

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Solution

The fourth proportional to 192,768.40, 289,235.30 and 74,522.78 is: 111,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,768.40 : 289,235.30 = 74,522.78 : x
  2. Step 2: Convert to fraction form
    192,768.40/289,235.30 = 74,522.78/x
  3. Step 3: Cross multiply
    192,768.40x = 289,235.30 × 74,522.78
  4. Step 4: Simplify right side
    192,768.40x = 21,554,618,630.13
  5. Step 5: Solve for x
    x = 21,554,618,630.13/192,768.40
  6. Step 6: Final answer
    x = 111,816.14

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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.