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Finding the Fourth Proportional to 164,448.78, 226,939.31 and 88,997.28

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Solution

The fourth proportional to 164,448.78, 226,939.31 and 88,997.28 is: 122,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448.78 : 226,939.31 = 88,997.28 : x
  2. Step 2: Convert to fraction form
    164,448.78/226,939.31 = 88,997.28/x
  3. Step 3: Cross multiply
    164,448.78x = 226,939.31 × 88,997.28
  4. Step 4: Simplify right side
    164,448.78x = 20,196,979,735.39
  5. Step 5: Solve for x
    x = 20,196,979,735.39/164,448.78
  6. Step 6: Final answer
    x = 122,816.24

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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.