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Finding the Fourth Proportional to 311,361.24, 467,041.88 and 100,999.20

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Solution

The fourth proportional to 311,361.24, 467,041.88 and 100,999.20 is: 151,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,361.24 : 467,041.88 = 100,999.20 : x
  2. Step 2: Convert to fraction form
    311,361.24/467,041.88 = 100,999.20/x
  3. Step 3: Cross multiply
    311,361.24x = 467,041.88 × 100,999.20
  4. Step 4: Simplify right side
    311,361.24x = 47,170,856,246.50
  5. Step 5: Solve for x
    x = 47,170,856,246.50/311,361.24
  6. Step 6: Final answer
    x = 151,498.81

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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.