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Finding the Fourth Proportional to 299,847.88, 449,619 and 100,096.48

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Solution

The fourth proportional to 299,847.88, 449,619 and 100,096.48 is: 150,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,847.88 : 449,619 = 100,096.48 : x
  2. Step 2: Convert to fraction form
    299,847.88/449,619 = 100,096.48/x
  3. Step 3: Cross multiply
    299,847.88x = 449,619 × 100,096.48
  4. Step 4: Simplify right side
    299,847.88x = 45,005,279,241.12
  5. Step 5: Solve for x
    x = 45,005,279,241.12/299,847.88
  6. Step 6: Final answer
    x = 150,093.70

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1.5x scale

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.