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Finding the Fourth Proportional to 167,254.97, 230,493.12 and 164,180.61

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Solution

The fourth proportional to 167,254.97, 230,493.12 and 164,180.61 is: 226,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,254.97 : 230,493.12 = 164,180.61 : x
  2. Step 2: Convert to fraction form
    167,254.97/230,493.12 = 164,180.61/x
  3. Step 3: Cross multiply
    167,254.97x = 230,493.12 × 164,180.61
  4. Step 4: Simplify right side
    167,254.97x = 37,842,501,042.40
  5. Step 5: Solve for x
    x = 37,842,501,042.40/167,254.97
  6. Step 6: Final answer
    x = 226,256.37

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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.