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Finding the Fourth Proportional to 192,896.43, 289,342.49 and 68,208.27

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Solution

The fourth proportional to 192,896.43, 289,342.49 and 68,208.27 is: 102,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,896.43 : 289,342.49 = 68,208.27 : x
  2. Step 2: Convert to fraction form
    192,896.43/289,342.49 = 68,208.27/x
  3. Step 3: Cross multiply
    192,896.43x = 289,342.49 × 68,208.27
  4. Step 4: Simplify right side
    192,896.43x = 19,735,550,339.35
  5. Step 5: Solve for x
    x = 19,735,550,339.35/192,896.43
  6. Step 6: Final answer
    x = 102,311.64

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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.