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Finding the Fourth Proportional to 311,936.67, 467,937.81 and 101,591.01

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Solution

The fourth proportional to 311,936.67, 467,937.81 and 101,591.01 is: 152,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,936.67 : 467,937.81 = 101,591.01 : x
  2. Step 2: Convert to fraction form
    311,936.67/467,937.81 = 101,591.01/x
  3. Step 3: Cross multiply
    311,936.67x = 467,937.81 × 101,591.01
  4. Step 4: Simplify right side
    311,936.67x = 47,538,274,735.09
  5. Step 5: Solve for x
    x = 47,538,274,735.09/311,936.67
  6. Step 6: Final answer
    x = 152,397.20

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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.