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Finding the Fourth Proportional to 167,538.96, 251,307.93 and 67,698

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Solution

The fourth proportional to 167,538.96, 251,307.93 and 67,698 is: 101,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,538.96 : 251,307.93 = 67,698 : x
  2. Step 2: Convert to fraction form
    167,538.96/251,307.93 = 67,698/x
  3. Step 3: Cross multiply
    167,538.96x = 251,307.93 × 67,698
  4. Step 4: Simplify right side
    167,538.96x = 17,013,044,245.14
  5. Step 5: Solve for x
    x = 17,013,044,245.14/167,538.96
  6. Step 6: Final answer
    x = 101,546.79

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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.