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Finding the Fourth Proportional to 311,371.56, 467,057.70 and 101,025.90

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Solution

The fourth proportional to 311,371.56, 467,057.70 and 101,025.90 is: 151,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,371.56 : 467,057.70 = 101,025.90 : x
  2. Step 2: Convert to fraction form
    311,371.56/467,057.70 = 101,025.90/x
  3. Step 3: Cross multiply
    311,371.56x = 467,057.70 × 101,025.90
  4. Step 4: Simplify right side
    311,371.56x = 47,184,924,494.43
  5. Step 5: Solve for x
    x = 47,184,924,494.43/311,371.56
  6. Step 6: Final answer
    x = 151,538.97

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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.