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Finding the Fourth Proportional to 311,170.75, 466,839.18 and 111,511.32

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Solution

The fourth proportional to 311,170.75, 466,839.18 and 111,511.32 is: 167,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,170.75 : 466,839.18 = 111,511.32 : x
  2. Step 2: Convert to fraction form
    311,170.75/466,839.18 = 111,511.32/x
  3. Step 3: Cross multiply
    311,170.75x = 466,839.18 × 111,511.32
  4. Step 4: Simplify right side
    311,170.75x = 52,057,851,674.09
  5. Step 5: Solve for x
    x = 52,057,851,674.09/311,170.75
  6. Step 6: Final answer
    x = 167,296.74

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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.