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Finding the Fourth Proportional to 100,276.56, 150,413.76 and 41,099.04

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Solution

The fourth proportional to 100,276.56, 150,413.76 and 41,099.04 is: 61,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,276.56 : 150,413.76 = 41,099.04 : x
  2. Step 2: Convert to fraction form
    100,276.56/150,413.76 = 41,099.04/x
  3. Step 3: Cross multiply
    100,276.56x = 150,413.76 × 41,099.04
  4. Step 4: Simplify right side
    100,276.56x = 6,181,861,138.79
  5. Step 5: Solve for x
    x = 6,181,861,138.79/100,276.56
  6. Step 6: Final answer
    x = 61,648.12

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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.