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Finding the Fourth Proportional to 150,544.71, 225,855.03 and 106,257.96

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Solution

The fourth proportional to 150,544.71, 225,855.03 and 106,257.96 is: 159,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,544.71 : 225,855.03 = 106,257.96 : x
  2. Step 2: Convert to fraction form
    150,544.71/225,855.03 = 106,257.96/x
  3. Step 3: Cross multiply
    150,544.71x = 225,855.03 × 106,257.96
  4. Step 4: Simplify right side
    150,544.71x = 23,998,894,743.54
  5. Step 5: Solve for x
    x = 23,998,894,743.54/150,544.71
  6. Step 6: Final answer
    x = 159,413.74

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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.