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Finding the Fourth Proportional to 167,692, 231,415.86 and 91,211.66

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Solution

The fourth proportional to 167,692, 231,415.86 and 91,211.66 is: 125,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,692 : 231,415.86 = 91,211.66 : x
  2. Step 2: Convert to fraction form
    167,692/231,415.86 = 91,211.66/x
  3. Step 3: Cross multiply
    167,692x = 231,415.86 × 91,211.66
  4. Step 4: Simplify right side
    167,692x = 21,107,824,740.93
  5. Step 5: Solve for x
    x = 21,107,824,740.93/167,692
  6. Step 6: Final answer
    x = 125,872.58

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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.