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Finding the Fourth Proportional to 164,908.49, 227,579.31 and 96,924.49

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Solution

The fourth proportional to 164,908.49, 227,579.31 and 96,924.49 is: 133,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,908.49 : 227,579.31 = 96,924.49 : x
  2. Step 2: Convert to fraction form
    164,908.49/227,579.31 = 96,924.49/x
  3. Step 3: Cross multiply
    164,908.49x = 227,579.31 × 96,924.49
  4. Step 4: Simplify right side
    164,908.49x = 22,058,008,556.30
  5. Step 5: Solve for x
    x = 22,058,008,556.30/164,908.49
  6. Step 6: Final answer
    x = 133,759.08

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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.