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Finding the Fourth Proportional to 133,485.30, 200,227.14 and 53,559.36

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Solution

The fourth proportional to 133,485.30, 200,227.14 and 53,559.36 is: 80,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,485.30 : 200,227.14 = 53,559.36 : x
  2. Step 2: Convert to fraction form
    133,485.30/200,227.14 = 53,559.36/x
  3. Step 3: Cross multiply
    133,485.30x = 200,227.14 × 53,559.36
  4. Step 4: Simplify right side
    133,485.30x = 10,724,037,473.03
  5. Step 5: Solve for x
    x = 10,724,037,473.03/133,485.30
  6. Step 6: Final answer
    x = 80,338.71

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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.