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Finding the Fourth Proportional to 311,906.12, 467,748.78 and 101,504.84

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Solution

The fourth proportional to 311,906.12, 467,748.78 and 101,504.84 is: 152,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.12 : 467,748.78 = 101,504.84 : x
  2. Step 2: Convert to fraction form
    311,906.12/467,748.78 = 101,504.84/x
  3. Step 3: Cross multiply
    311,906.12x = 467,748.78 × 101,504.84
  4. Step 4: Simplify right side
    311,906.12x = 47,478,765,074.10
  5. Step 5: Solve for x
    x = 47,478,765,074.10/311,906.12
  6. Step 6: Final answer
    x = 152,221.33

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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.