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Finding the Fourth Proportional to 133,438.36, 200,236.47 and 49,257.13

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Solution

The fourth proportional to 133,438.36, 200,236.47 and 49,257.13 is: 73,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,438.36 : 200,236.47 = 49,257.13 : x
  2. Step 2: Convert to fraction form
    133,438.36/200,236.47 = 49,257.13/x
  3. Step 3: Cross multiply
    133,438.36x = 200,236.47 × 49,257.13
  4. Step 4: Simplify right side
    133,438.36x = 9,863,073,833.53
  5. Step 5: Solve for x
    x = 9,863,073,833.53/133,438.36
  6. Step 6: Final answer
    x = 73,914.83

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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.