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Finding the Fourth Proportional to 201,382.80, 301,728.60 and 95,974.80

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Solution

The fourth proportional to 201,382.80, 301,728.60 and 95,974.80 is: 143,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.80 : 301,728.60 = 95,974.80 : x
  2. Step 2: Convert to fraction form
    201,382.80/301,728.60 = 95,974.80/x
  3. Step 3: Cross multiply
    201,382.80x = 301,728.60 × 95,974.80
  4. Step 4: Simplify right side
    201,382.80x = 28,958,342,039.28
  5. Step 5: Solve for x
    x = 28,958,342,039.28/201,382.80
  6. Step 6: Final answer
    x = 143,797.49

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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.