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Finding the Fourth Proportional to 163,896.48, 226,177.92 and 92,286

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Solution

The fourth proportional to 163,896.48, 226,177.92 and 92,286 is: 127,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,896.48 : 226,177.92 = 92,286 : x
  2. Step 2: Convert to fraction form
    163,896.48/226,177.92 = 92,286/x
  3. Step 3: Cross multiply
    163,896.48x = 226,177.92 × 92,286
  4. Step 4: Simplify right side
    163,896.48x = 20,873,055,525.12
  5. Step 5: Solve for x
    x = 20,873,055,525.12/163,896.48
  6. Step 6: Final answer
    x = 127,355.12

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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.