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Finding the Fourth Proportional to 299,208.15, 449,103.83 and 149,617.35

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Solution

The fourth proportional to 299,208.15, 449,103.83 and 149,617.35 is: 224,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,208.15 : 449,103.83 = 149,617.35 : x
  2. Step 2: Convert to fraction form
    299,208.15/449,103.83 = 149,617.35/x
  3. Step 3: Cross multiply
    299,208.15x = 449,103.83 × 149,617.35
  4. Step 4: Simplify right side
    299,208.15x = 67,193,724,171.36
  5. Step 5: Solve for x
    x = 67,193,724,171.36/299,208.15
  6. Step 6: Final answer
    x = 224,571.84

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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.