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Finding the Fourth Proportional to 121,538.94, 167,723.42 and 67,823.38

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Solution

The fourth proportional to 121,538.94, 167,723.42 and 67,823.38 is: 93,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,538.94 : 167,723.42 = 67,823.38 : x
  2. Step 2: Convert to fraction form
    121,538.94/167,723.42 = 67,823.38/x
  3. Step 3: Cross multiply
    121,538.94x = 167,723.42 × 67,823.38
  4. Step 4: Simplify right side
    121,538.94x = 11,375,569,249.56
  5. Step 5: Solve for x
    x = 11,375,569,249.56/121,538.94
  6. Step 6: Final answer
    x = 93,596.09

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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.