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Finding the Fourth Proportional to 311,747.70, 467,621.55 and 112,074.60

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Solution

The fourth proportional to 311,747.70, 467,621.55 and 112,074.60 is: 168,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,747.70 : 467,621.55 = 112,074.60 : x
  2. Step 2: Convert to fraction form
    311,747.70/467,621.55 = 112,074.60/x
  3. Step 3: Cross multiply
    311,747.70x = 467,621.55 × 112,074.60
  4. Step 4: Simplify right side
    311,747.70x = 52,408,498,167.63
  5. Step 5: Solve for x
    x = 52,408,498,167.63/311,747.70
  6. Step 6: Final answer
    x = 168,111.90

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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.