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Finding the Fourth Proportional to 192,194.76, 264,954.73 and 149,098.22

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Solution

The fourth proportional to 192,194.76, 264,954.73 and 149,098.22 is: 205,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,194.76 : 264,954.73 = 149,098.22 : x
  2. Step 2: Convert to fraction form
    192,194.76/264,954.73 = 149,098.22/x
  3. Step 3: Cross multiply
    192,194.76x = 264,954.73 × 149,098.22
  4. Step 4: Simplify right side
    192,194.76x = 39,504,276,553.32
  5. Step 5: Solve for x
    x = 39,504,276,553.32/192,194.76
  6. Step 6: Final answer
    x = 205,542.94

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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.