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Finding the Fourth Proportional to 311,172.12, 466,841.24 and 111,512.69

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Solution

The fourth proportional to 311,172.12, 466,841.24 and 111,512.69 is: 167,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172.12 : 466,841.24 = 111,512.69 : x
  2. Step 2: Convert to fraction form
    311,172.12/466,841.24 = 111,512.69/x
  3. Step 3: Cross multiply
    311,172.12x = 466,841.24 × 111,512.69
  4. Step 4: Simplify right side
    311,172.12x = 52,058,719,583.57
  5. Step 5: Solve for x
    x = 52,058,719,583.57/311,172.12
  6. Step 6: Final answer
    x = 167,298.79

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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.