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Finding the Fourth Proportional to 311,757.18, 467,759.28 and 162,091.86

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Solution

The fourth proportional to 311,757.18, 467,759.28 and 162,091.86 is: 243,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,757.18 : 467,759.28 = 162,091.86 : x
  2. Step 2: Convert to fraction form
    311,757.18/467,759.28 = 162,091.86/x
  3. Step 3: Cross multiply
    311,757.18x = 467,759.28 × 162,091.86
  4. Step 4: Simplify right side
    311,757.18x = 75,819,971,727.46
  5. Step 5: Solve for x
    x = 75,819,971,727.46/311,757.18
  6. Step 6: Final answer
    x = 243,202.01

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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.