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Finding the Fourth Proportional to 132,151.70, 198,183.11 and 47,894.22

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Solution

The fourth proportional to 132,151.70, 198,183.11 and 47,894.22 is: 71,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,151.70 : 198,183.11 = 47,894.22 : x
  2. Step 2: Convert to fraction form
    132,151.70/198,183.11 = 47,894.22/x
  3. Step 3: Cross multiply
    132,151.70x = 198,183.11 × 47,894.22
  4. Step 4: Simplify right side
    132,151.70x = 9,491,824,479.71
  5. Step 5: Solve for x
    x = 9,491,824,479.71/132,151.70
  6. Step 6: Final answer
    x = 71,825.22

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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.