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Finding the Fourth Proportional to 278,180.56, 417,086.50 and 100,664.48

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Solution

The fourth proportional to 278,180.56, 417,086.50 and 100,664.48 is: 150,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,180.56 : 417,086.50 = 100,664.48 : x
  2. Step 2: Convert to fraction form
    278,180.56/417,086.50 = 100,664.48/x
  3. Step 3: Cross multiply
    278,180.56x = 417,086.50 × 100,664.48
  4. Step 4: Simplify right side
    278,180.56x = 41,985,795,637.52
  5. Step 5: Solve for x
    x = 41,985,795,637.52/278,180.56
  6. Step 6: Final answer
    x = 150,930.01

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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.