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Finding the Fourth Proportional to 100,659.54, 150,878.60 and 41,462.92

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Solution

The fourth proportional to 100,659.54, 150,878.60 and 41,462.92 is: 62,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.54 : 150,878.60 = 41,462.92 : x
  2. Step 2: Convert to fraction form
    100,659.54/150,878.60 = 41,462.92/x
  3. Step 3: Cross multiply
    100,659.54x = 150,878.60 × 41,462.92
  4. Step 4: Simplify right side
    100,659.54x = 6,255,867,458.28
  5. Step 5: Solve for x
    x = 6,255,867,458.28/100,659.54
  6. Step 6: Final answer
    x = 62,148.78

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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.