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Finding the Fourth Proportional to 133,546.70, 200,332.20 and 54,644.60

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Solution

The fourth proportional to 133,546.70, 200,332.20 and 54,644.60 is: 81,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546.70 : 200,332.20 = 54,644.60 : x
  2. Step 2: Convert to fraction form
    133,546.70/200,332.20 = 54,644.60/x
  3. Step 3: Cross multiply
    133,546.70x = 200,332.20 × 54,644.60
  4. Step 4: Simplify right side
    133,546.70x = 10,947,072,936.12
  5. Step 5: Solve for x
    x = 10,947,072,936.12/133,546.70
  6. Step 6: Final answer
    x = 81,971.87

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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.