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Finding the Fourth Proportional to 278,292.80, 384,043.89 and 150,968.39

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Solution

The fourth proportional to 278,292.80, 384,043.89 and 150,968.39 is: 208,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,292.80 : 384,043.89 = 150,968.39 : x
  2. Step 2: Convert to fraction form
    278,292.80/384,043.89 = 150,968.39/x
  3. Step 3: Cross multiply
    278,292.80x = 384,043.89 × 150,968.39
  4. Step 4: Simplify right side
    278,292.80x = 57,978,488,722.75
  5. Step 5: Solve for x
    x = 57,978,488,722.75/278,292.80
  6. Step 6: Final answer
    x = 208,336.29

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