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Finding the Fourth Proportional to 100,778.26, 151,161.80 and 30,652.06

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Solution

The fourth proportional to 100,778.26, 151,161.80 and 30,652.06 is: 45,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,778.26 : 151,161.80 = 30,652.06 : x
  2. Step 2: Convert to fraction form
    100,778.26/151,161.80 = 30,652.06/x
  3. Step 3: Cross multiply
    100,778.26x = 151,161.80 × 30,652.06
  4. Step 4: Simplify right side
    100,778.26x = 4,633,420,563.31
  5. Step 5: Solve for x
    x = 4,633,420,563.31/100,778.26
  6. Step 6: Final answer
    x = 45,976.39

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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.