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Finding the Fourth Proportional to 278,542.14, 417,745.86 and 128,638.26

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Solution

The fourth proportional to 278,542.14, 417,745.86 and 128,638.26 is: 192,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,542.14 : 417,745.86 = 128,638.26 : x
  2. Step 2: Convert to fraction form
    278,542.14/417,745.86 = 128,638.26/x
  3. Step 3: Cross multiply
    278,542.14x = 417,745.86 × 128,638.26
  4. Step 4: Simplify right side
    278,542.14x = 53,738,100,552.60
  5. Step 5: Solve for x
    x = 53,738,100,552.60/278,542.14
  6. Step 6: Final answer
    x = 192,926.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.