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Finding the Fourth Proportional to 101,096.20, 151,644.30 and 81,413.20

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Solution

The fourth proportional to 101,096.20, 151,644.30 and 81,413.20 is: 122,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,096.20 : 151,644.30 = 81,413.20 : x
  2. Step 2: Convert to fraction form
    101,096.20/151,644.30 = 81,413.20/x
  3. Step 3: Cross multiply
    101,096.20x = 151,644.30 × 81,413.20
  4. Step 4: Simplify right side
    101,096.20x = 12,345,847,724.76
  5. Step 5: Solve for x
    x = 12,345,847,724.76/101,096.20
  6. Step 6: Final answer
    x = 122,119.80

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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.