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Finding the Fourth Proportional to 143,198.68, 214,805.20 and 36,583.46

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Solution

The fourth proportional to 143,198.68, 214,805.20 and 36,583.46 is: 54,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,198.68 : 214,805.20 = 36,583.46 : x
  2. Step 2: Convert to fraction form
    143,198.68/214,805.20 = 36,583.46/x
  3. Step 3: Cross multiply
    143,198.68x = 214,805.20 × 36,583.46
  4. Step 4: Simplify right side
    143,198.68x = 7,858,317,441.99
  5. Step 5: Solve for x
    x = 7,858,317,441.99/143,198.68
  6. Step 6: Final answer
    x = 54,877.02

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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.