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Finding the Fourth Proportional to 200,380.10, 300,579.50 and 111,566.72

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Solution

The fourth proportional to 200,380.10, 300,579.50 and 111,566.72 is: 167,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,380.10 : 300,579.50 = 111,566.72 : x
  2. Step 2: Convert to fraction form
    200,380.10/300,579.50 = 111,566.72/x
  3. Step 3: Cross multiply
    200,380.10x = 300,579.50 × 111,566.72
  4. Step 4: Simplify right side
    200,380.10x = 33,534,667,469.39
  5. Step 5: Solve for x
    x = 33,534,667,469.39/200,380.10
  6. Step 6: Final answer
    x = 167,355.28

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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.