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Finding the Fourth Proportional to 192,846.92, 265,881.44 and 149,753.30

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Solution

The fourth proportional to 192,846.92, 265,881.44 and 149,753.30 is: 206,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,846.92 : 265,881.44 = 149,753.30 : x
  2. Step 2: Convert to fraction form
    192,846.92/265,881.44 = 149,753.30/x
  3. Step 3: Cross multiply
    192,846.92x = 265,881.44 × 149,753.30
  4. Step 4: Simplify right side
    192,846.92x = 39,816,622,093.73
  5. Step 5: Solve for x
    x = 39,816,622,093.73/192,846.92
  6. Step 6: Final answer
    x = 206,467.51

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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.