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Finding the Fourth Proportional to 278,012.14, 383,657.16 and 150,687.70

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Solution

The fourth proportional to 278,012.14, 383,657.16 and 150,687.70 is: 207,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012.14 : 383,657.16 = 150,687.70 : x
  2. Step 2: Convert to fraction form
    278,012.14/383,657.16 = 150,687.70/x
  3. Step 3: Cross multiply
    278,012.14x = 383,657.16 × 150,687.70
  4. Step 4: Simplify right side
    278,012.14x = 57,812,415,028.93
  5. Step 5: Solve for x
    x = 57,812,415,028.93/278,012.14
  6. Step 6: Final answer
    x = 207,949.25

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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.