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Finding the Fourth Proportional to 278,171.85, 383,877.26 and 150,847.41

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Solution

The fourth proportional to 278,171.85, 383,877.26 and 150,847.41 is: 208,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,171.85 : 383,877.26 = 150,847.41 : x
  2. Step 2: Convert to fraction form
    278,171.85/383,877.26 = 150,847.41/x
  3. Step 3: Cross multiply
    278,171.85x = 383,877.26 × 150,847.41
  4. Step 4: Simplify right side
    278,171.85x = 57,906,889,674.66
  5. Step 5: Solve for x
    x = 57,906,889,674.66/278,171.85
  6. Step 6: Final answer
    x = 208,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.