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Finding the Fourth Proportional to 192,469.15, 265,584.24 and 106,416.49

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Solution

The fourth proportional to 192,469.15, 265,584.24 and 106,416.49 is: 146,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,469.15 : 265,584.24 = 106,416.49 : x
  2. Step 2: Convert to fraction form
    192,469.15/265,584.24 = 106,416.49/x
  3. Step 3: Cross multiply
    192,469.15x = 265,584.24 × 106,416.49
  4. Step 4: Simplify right side
    192,469.15x = 28,262,542,620.12
  5. Step 5: Solve for x
    x = 28,262,542,620.12/192,469.15
  6. Step 6: Final answer
    x = 146,841.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.