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Finding the Fourth Proportional to 203,400.40, 305,149.20 and 98,132.80

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Solution

The fourth proportional to 203,400.40, 305,149.20 and 98,132.80 is: 147,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400.40 : 305,149.20 = 98,132.80 : x
  2. Step 2: Convert to fraction form
    203,400.40/305,149.20 = 98,132.80/x
  3. Step 3: Cross multiply
    203,400.40x = 305,149.20 × 98,132.80
  4. Step 4: Simplify right side
    203,400.40x = 29,945,145,413.76
  5. Step 5: Solve for x
    x = 29,945,145,413.76/203,400.40
  6. Step 6: Final answer
    x = 147,222.65

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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.