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Finding the Fourth Proportional to 362,441.56, 543,523.82 and 119,226.05

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Solution

The fourth proportional to 362,441.56, 543,523.82 and 119,226.05 is: 178,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,441.56 : 543,523.82 = 119,226.05 : x
  2. Step 2: Convert to fraction form
    362,441.56/543,523.82 = 119,226.05/x
  3. Step 3: Cross multiply
    362,441.56x = 543,523.82 × 119,226.05
  4. Step 4: Simplify right side
    362,441.56x = 64,802,198,139.51
  5. Step 5: Solve for x
    x = 64,802,198,139.51/362,441.56
  6. Step 6: Final answer
    x = 178,793.51

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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.