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Finding the Fourth Proportional to 164,019.52, 226,383.78 and 107,398

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Solution

The fourth proportional to 164,019.52, 226,383.78 and 107,398 is: 148,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,019.52 : 226,383.78 = 107,398 : x
  2. Step 2: Convert to fraction form
    164,019.52/226,383.78 = 107,398/x
  3. Step 3: Cross multiply
    164,019.52x = 226,383.78 × 107,398
  4. Step 4: Simplify right side
    164,019.52x = 24,313,165,204.44
  5. Step 5: Solve for x
    x = 24,313,165,204.44/164,019.52
  6. Step 6: Final answer
    x = 148,233.36

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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.