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Finding the Fourth Proportional to 150,413.40, 225,620.10 and 133,500.60

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Solution

The fourth proportional to 150,413.40, 225,620.10 and 133,500.60 is: 200,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,413.40 : 225,620.10 = 133,500.60 : x
  2. Step 2: Convert to fraction form
    150,413.40/225,620.10 = 133,500.60/x
  3. Step 3: Cross multiply
    150,413.40x = 225,620.10 × 133,500.60
  4. Step 4: Simplify right side
    150,413.40x = 30,120,418,722.06
  5. Step 5: Solve for x
    x = 30,120,418,722.06/150,413.40
  6. Step 6: Final answer
    x = 200,250.90

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1.5x scale

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.