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Finding the Fourth Proportional to 100,177.29, 150,270.49 and 55,770.56

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Solution

The fourth proportional to 100,177.29, 150,270.49 and 55,770.56 is: 83,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177.29 : 150,270.49 = 55,770.56 : x
  2. Step 2: Convert to fraction form
    100,177.29/150,270.49 = 55,770.56/x
  3. Step 3: Cross multiply
    100,177.29x = 150,270.49 × 55,770.56
  4. Step 4: Simplify right side
    100,177.29x = 8,380,669,260.65
  5. Step 5: Solve for x
    x = 8,380,669,260.65/100,177.29
  6. Step 6: Final answer
    x = 83,658.37

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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.