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Finding the Fourth Proportional to 192,961.02, 289,469.56 and 59,852

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Solution

The fourth proportional to 192,961.02, 289,469.56 and 59,852 is: 89,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,961.02 : 289,469.56 = 59,852 : x
  2. Step 2: Convert to fraction form
    192,961.02/289,469.56 = 59,852/x
  3. Step 3: Cross multiply
    192,961.02x = 289,469.56 × 59,852
  4. Step 4: Simplify right side
    192,961.02x = 17,325,332,105.12
  5. Step 5: Solve for x
    x = 17,325,332,105.12/192,961.02
  6. Step 6: Final answer
    x = 89,786.69

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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.