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Finding the Fourth Proportional to 133,843.82, 200,724.71 and 45,073.49

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Solution

The fourth proportional to 133,843.82, 200,724.71 and 45,073.49 is: 67,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.82 : 200,724.71 = 45,073.49 : x
  2. Step 2: Convert to fraction form
    133,843.82/200,724.71 = 45,073.49/x
  3. Step 3: Cross multiply
    133,843.82x = 200,724.71 × 45,073.49
  4. Step 4: Simplify right side
    133,843.82x = 9,047,361,979.95
  5. Step 5: Solve for x
    x = 9,047,361,979.95/133,843.82
  6. Step 6: Final answer
    x = 67,596.41

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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.