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Finding the Fourth Proportional to 167,893.22, 231,655.14 and 140,778.98

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Solution

The fourth proportional to 167,893.22, 231,655.14 and 140,778.98 is: 194,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,893.22 : 231,655.14 = 140,778.98 : x
  2. Step 2: Convert to fraction form
    167,893.22/231,655.14 = 140,778.98/x
  3. Step 3: Cross multiply
    167,893.22x = 231,655.14 × 140,778.98
  4. Step 4: Simplify right side
    167,893.22x = 32,612,174,031.39
  5. Step 5: Solve for x
    x = 32,612,174,031.39/167,893.22
  6. Step 6: Final answer
    x = 194,243.54

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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.