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Finding the Fourth Proportional to 278,013.89, 383,659.58 and 150,689.45

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Solution

The fourth proportional to 278,013.89, 383,659.58 and 150,689.45 is: 207,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.89 : 383,659.58 = 150,689.45 : x
  2. Step 2: Convert to fraction form
    278,013.89/383,659.58 = 150,689.45/x
  3. Step 3: Cross multiply
    278,013.89x = 383,659.58 × 150,689.45
  4. Step 4: Simplify right side
    278,013.89x = 57,813,451,097.43
  5. Step 5: Solve for x
    x = 57,813,451,097.43/278,013.89
  6. Step 6: Final answer
    x = 207,951.66

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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.