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Finding the Fourth Proportional to 167,820.31, 251,731.14 and 67,982.41

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Solution

The fourth proportional to 167,820.31, 251,731.14 and 67,982.41 is: 101,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,820.31 : 251,731.14 = 67,982.41 : x
  2. Step 2: Convert to fraction form
    167,820.31/251,731.14 = 67,982.41/x
  3. Step 3: Cross multiply
    167,820.31x = 251,731.14 × 67,982.41
  4. Step 4: Simplify right side
    167,820.31x = 17,113,287,970.68
  5. Step 5: Solve for x
    x = 17,113,287,970.68/167,820.31
  6. Step 6: Final answer
    x = 101,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.