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Finding the Fourth Proportional to 133,778.52, 200,617.56 and 43,800.48

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Solution

The fourth proportional to 133,778.52, 200,617.56 and 43,800.48 is: 65,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778.52 : 200,617.56 = 43,800.48 : x
  2. Step 2: Convert to fraction form
    133,778.52/200,617.56 = 43,800.48/x
  3. Step 3: Cross multiply
    133,778.52x = 200,617.56 × 43,800.48
  4. Step 4: Simplify right side
    133,778.52x = 8,787,145,424.43
  5. Step 5: Solve for x
    x = 8,787,145,424.43/133,778.52
  6. Step 6: Final answer
    x = 65,684.28

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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.