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Finding the Fourth Proportional to 167,633.21, 231,419.54 and 129,306.72

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Solution

The fourth proportional to 167,633.21, 231,419.54 and 129,306.72 is: 178,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,633.21 : 231,419.54 = 129,306.72 : x
  2. Step 2: Convert to fraction form
    167,633.21/231,419.54 = 129,306.72/x
  3. Step 3: Cross multiply
    167,633.21x = 231,419.54 × 129,306.72
  4. Step 4: Simplify right side
    167,633.21x = 29,924,100,997.93
  5. Step 5: Solve for x
    x = 29,924,100,997.93/167,633.21
  6. Step 6: Final answer
    x = 178,509.39

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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.