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Finding the Fourth Proportional to 278,028.82, 383,679.40 and 150,704.38

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Solution

The fourth proportional to 278,028.82, 383,679.40 and 150,704.38 is: 207,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,028.82 : 383,679.40 = 150,704.38 : x
  2. Step 2: Convert to fraction form
    278,028.82/383,679.40 = 150,704.38/x
  3. Step 3: Cross multiply
    278,028.82x = 383,679.40 × 150,704.38
  4. Step 4: Simplify right side
    278,028.82x = 57,822,163,423.85
  5. Step 5: Solve for x
    x = 57,822,163,423.85/278,028.82
  6. Step 6: Final answer
    x = 207,971.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.