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Finding the Fourth Proportional to 132,074.56, 198,161.16 and 53,211.16

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Solution

The fourth proportional to 132,074.56, 198,161.16 and 53,211.16 is: 79,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,074.56 : 198,161.16 = 53,211.16 : x
  2. Step 2: Convert to fraction form
    132,074.56/198,161.16 = 53,211.16/x
  3. Step 3: Cross multiply
    132,074.56x = 198,161.16 × 53,211.16
  4. Step 4: Simplify right side
    132,074.56x = 10,544,385,190.55
  5. Step 5: Solve for x
    x = 10,544,385,190.55/132,074.56
  6. Step 6: Final answer
    x = 79,836.61

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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.