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Finding the Fourth Proportional to 278,013.39, 383,658.89 and 150,688.95

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Solution

The fourth proportional to 278,013.39, 383,658.89 and 150,688.95 is: 207,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.39 : 383,658.89 = 150,688.95 : x
  2. Step 2: Convert to fraction form
    278,013.39/383,658.89 = 150,688.95/x
  3. Step 3: Cross multiply
    278,013.39x = 383,658.89 × 150,688.95
  4. Step 4: Simplify right side
    278,013.39x = 57,813,154,538.82
  5. Step 5: Solve for x
    x = 57,813,154,538.82/278,013.39
  6. Step 6: Final answer
    x = 207,950.97

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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.