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Finding the Fourth Proportional to 164,906.49, 227,576.55 and 96,922.49

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Solution

The fourth proportional to 164,906.49, 227,576.55 and 96,922.49 is: 133,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.49 : 227,576.55 = 96,922.49 : x
  2. Step 2: Convert to fraction form
    164,906.49/227,576.55 = 96,922.49/x
  3. Step 3: Cross multiply
    164,906.49x = 227,576.55 × 96,922.49
  4. Step 4: Simplify right side
    164,906.49x = 22,057,285,891.61
  5. Step 5: Solve for x
    x = 22,057,285,891.61/164,906.49
  6. Step 6: Final answer
    x = 133,756.32

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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.