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Finding the Fourth Proportional to 278,321.10, 417,104.01 and 128,231.34

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Solution

The fourth proportional to 278,321.10, 417,104.01 and 128,231.34 is: 192,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321.10 : 417,104.01 = 128,231.34 : x
  2. Step 2: Convert to fraction form
    278,321.10/417,104.01 = 128,231.34/x
  3. Step 3: Cross multiply
    278,321.10x = 417,104.01 × 128,231.34
  4. Step 4: Simplify right side
    278,321.10x = 53,485,806,121.67
  5. Step 5: Solve for x
    x = 53,485,806,121.67/278,321.10
  6. Step 6: Final answer
    x = 192,173.02

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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.