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Finding the Fourth Proportional to 167,843.66, 231,546.02 and 99,822.47

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Solution

The fourth proportional to 167,843.66, 231,546.02 and 99,822.47 is: 137,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,843.66 : 231,546.02 = 99,822.47 : x
  2. Step 2: Convert to fraction form
    167,843.66/231,546.02 = 99,822.47/x
  3. Step 3: Cross multiply
    167,843.66x = 231,546.02 × 99,822.47
  4. Step 4: Simplify right side
    167,843.66x = 23,113,493,978.23
  5. Step 5: Solve for x
    x = 23,113,493,978.23/167,843.66
  6. Step 6: Final answer
    x = 137,708.48

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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.