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Finding the Fourth Proportional to 100,906.10, 151,366.35 and 30,785.30

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Solution

The fourth proportional to 100,906.10, 151,366.35 and 30,785.30 is: 46,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.10 : 151,366.35 = 30,785.30 : x
  2. Step 2: Convert to fraction form
    100,906.10/151,366.35 = 30,785.30/x
  3. Step 3: Cross multiply
    100,906.10x = 151,366.35 × 30,785.30
  4. Step 4: Simplify right side
    100,906.10x = 4,659,858,494.66
  5. Step 5: Solve for x
    x = 4,659,858,494.66/100,906.10
  6. Step 6: Final answer
    x = 46,180.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.