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Finding the Fourth Proportional to 299,882.75, 449,847.35 and 100,203.83

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Solution

The fourth proportional to 299,882.75, 449,847.35 and 100,203.83 is: 150,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,882.75 : 449,847.35 = 100,203.83 : x
  2. Step 2: Convert to fraction form
    299,882.75/449,847.35 = 100,203.83/x
  3. Step 3: Cross multiply
    299,882.75x = 449,847.35 × 100,203.83
  4. Step 4: Simplify right side
    299,882.75x = 45,076,425,386.62
  5. Step 5: Solve for x
    x = 45,076,425,386.62/299,882.75
  6. Step 6: Final answer
    x = 150,313.50

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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.