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Finding the Fourth Proportional to 202,163.20, 302,998.80 and 143,015.92

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Solution

The fourth proportional to 202,163.20, 302,998.80 and 143,015.92 is: 214,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163.20 : 302,998.80 = 143,015.92 : x
  2. Step 2: Convert to fraction form
    202,163.20/302,998.80 = 143,015.92/x
  3. Step 3: Cross multiply
    202,163.20x = 302,998.80 × 143,015.92
  4. Step 4: Simplify right side
    202,163.20x = 43,333,652,140.90
  5. Step 5: Solve for x
    x = 43,333,652,140.90/202,163.20
  6. Step 6: Final answer
    x = 214,349.85

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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.