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Finding the Fourth Proportional to 198,049.53, 273,006 and 121,426.77

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Solution

The fourth proportional to 198,049.53, 273,006 and 121,426.77 is: 167,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,049.53 : 273,006 = 121,426.77 : x
  2. Step 2: Convert to fraction form
    198,049.53/273,006 = 121,426.77/x
  3. Step 3: Cross multiply
    198,049.53x = 273,006 × 121,426.77
  4. Step 4: Simplify right side
    198,049.53x = 33,150,236,770.62
  5. Step 5: Solve for x
    x = 33,150,236,770.62/198,049.53
  6. Step 6: Final answer
    x = 167,383.57

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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.