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Finding the Fourth Proportional to 133,729.34, 200,517.44 and 54,800.50

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Solution

The fourth proportional to 133,729.34, 200,517.44 and 54,800.50 is: 82,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729.34 : 200,517.44 = 54,800.50 : x
  2. Step 2: Convert to fraction form
    133,729.34/200,517.44 = 54,800.50/x
  3. Step 3: Cross multiply
    133,729.34x = 200,517.44 × 54,800.50
  4. Step 4: Simplify right side
    133,729.34x = 10,988,455,970.72
  5. Step 5: Solve for x
    x = 10,988,455,970.72/133,729.34
  6. Step 6: Final answer
    x = 82,169.37

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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.