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Finding the Fourth Proportional to 278,107.88, 416,914.41 and 100,575.42

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Solution

The fourth proportional to 278,107.88, 416,914.41 and 100,575.42 is: 150,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,107.88 : 416,914.41 = 100,575.42 : x
  2. Step 2: Convert to fraction form
    278,107.88/416,914.41 = 100,575.42/x
  3. Step 3: Cross multiply
    278,107.88x = 416,914.41 × 100,575.42
  4. Step 4: Simplify right side
    278,107.88x = 41,931,340,137.79
  5. Step 5: Solve for x
    x = 41,931,340,137.79/278,107.88
  6. Step 6: Final answer
    x = 150,773.65

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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.