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Finding the Fourth Proportional to 133,975.62, 200,822.97 and 45,198.54

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Solution

The fourth proportional to 133,975.62, 200,822.97 and 45,198.54 is: 67,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,975.62 : 200,822.97 = 45,198.54 : x
  2. Step 2: Convert to fraction form
    133,975.62/200,822.97 = 45,198.54/x
  3. Step 3: Cross multiply
    133,975.62x = 200,822.97 × 45,198.54
  4. Step 4: Simplify right side
    133,975.62x = 9,076,905,042.46
  5. Step 5: Solve for x
    x = 9,076,905,042.46/133,975.62
  6. Step 6: Final answer
    x = 67,750.42

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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.