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Finding the Fourth Proportional to 278,049.84, 383,708.52 and 150,724.32

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Solution

The fourth proportional to 278,049.84, 383,708.52 and 150,724.32 is: 207,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,049.84 : 383,708.52 = 150,724.32 : x
  2. Step 2: Convert to fraction form
    278,049.84/383,708.52 = 150,724.32/x
  3. Step 3: Cross multiply
    278,049.84x = 383,708.52 × 150,724.32
  4. Step 4: Simplify right side
    278,049.84x = 57,834,205,755.21
  5. Step 5: Solve for x
    x = 57,834,205,755.21/278,049.84
  6. Step 6: Final answer
    x = 207,999.42

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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.