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Finding the Fourth Proportional to 278,249.28, 383,981.16 and 150,922.12

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Solution

The fourth proportional to 278,249.28, 383,981.16 and 150,922.12 is: 208,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,249.28 : 383,981.16 = 150,922.12 : x
  2. Step 2: Convert to fraction form
    278,249.28/383,981.16 = 150,922.12/x
  3. Step 3: Cross multiply
    278,249.28x = 383,981.16 × 150,922.12
  4. Step 4: Simplify right side
    278,249.28x = 57,951,250,707.26
  5. Step 5: Solve for x
    x = 57,951,250,707.26/278,249.28
  6. Step 6: Final answer
    x = 208,270.98

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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.