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Finding the Fourth Proportional to 300,824.96, 451,228.18 and 123,198.19

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Solution

The fourth proportional to 300,824.96, 451,228.18 and 123,198.19 is: 184,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,824.96 : 451,228.18 = 123,198.19 : x
  2. Step 2: Convert to fraction form
    300,824.96/451,228.18 = 123,198.19/x
  3. Step 3: Cross multiply
    300,824.96x = 451,228.18 × 123,198.19
  4. Step 4: Simplify right side
    300,824.96x = 55,590,495,290.25
  5. Step 5: Solve for x
    x = 55,590,495,290.25/300,824.96
  6. Step 6: Final answer
    x = 184,793.49

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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.