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Finding the Fourth Proportional to 100,780.56, 150,940.44 and 48,226.96

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Solution

The fourth proportional to 100,780.56, 150,940.44 and 48,226.96 is: 72,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,780.56 : 150,940.44 = 48,226.96 : x
  2. Step 2: Convert to fraction form
    100,780.56/150,940.44 = 48,226.96/x
  3. Step 3: Cross multiply
    100,780.56x = 150,940.44 × 48,226.96
  4. Step 4: Simplify right side
    100,780.56x = 7,279,398,562.26
  5. Step 5: Solve for x
    x = 7,279,398,562.26/100,780.56
  6. Step 6: Final answer
    x = 72,230.19

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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.