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Finding the Fourth Proportional to 150,413.80, 225,620.70 and 141,812.20

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Solution

The fourth proportional to 150,413.80, 225,620.70 and 141,812.20 is: 212,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,413.80 : 225,620.70 = 141,812.20 : x
  2. Step 2: Convert to fraction form
    150,413.80/225,620.70 = 141,812.20/x
  3. Step 3: Cross multiply
    150,413.80x = 225,620.70 × 141,812.20
  4. Step 4: Simplify right side
    150,413.80x = 31,995,767,832.54
  5. Step 5: Solve for x
    x = 31,995,767,832.54/150,413.80
  6. Step 6: Final answer
    x = 212,718.30

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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.