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Finding the Fourth Proportional to 100,574.50, 150,993.60 and 67,442.82

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Solution

The fourth proportional to 100,574.50, 150,993.60 and 67,442.82 is: 101,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.50 : 150,993.60 = 67,442.82 : x
  2. Step 2: Convert to fraction form
    100,574.50/150,993.60 = 67,442.82/x
  3. Step 3: Cross multiply
    100,574.50x = 150,993.60 × 67,442.82
  4. Step 4: Simplify right side
    100,574.50x = 10,183,434,185.95
  5. Step 5: Solve for x
    x = 10,183,434,185.95/100,574.50
  6. Step 6: Final answer
    x = 101,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.