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Finding the Fourth Proportional to 201,494.80, 301,896.60 and 96,086.80

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Solution

The fourth proportional to 201,494.80, 301,896.60 and 96,086.80 is: 143,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494.80 : 301,896.60 = 96,086.80 : x
  2. Step 2: Convert to fraction form
    201,494.80/301,896.60 = 96,086.80/x
  3. Step 3: Cross multiply
    201,494.80x = 301,896.60 × 96,086.80
  4. Step 4: Simplify right side
    201,494.80x = 29,008,278,224.88
  5. Step 5: Solve for x
    x = 29,008,278,224.88/201,494.80
  6. Step 6: Final answer
    x = 143,965.39

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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.