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Finding the Fourth Proportional to 133,853.88, 200,738.92 and 48,453.96

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Solution

The fourth proportional to 133,853.88, 200,738.92 and 48,453.96 is: 72,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853.88 : 200,738.92 = 48,453.96 : x
  2. Step 2: Convert to fraction form
    133,853.88/200,738.92 = 48,453.96/x
  3. Step 3: Cross multiply
    133,853.88x = 200,738.92 × 48,453.96
  4. Step 4: Simplify right side
    133,853.88x = 9,726,595,600.12
  5. Step 5: Solve for x
    x = 9,726,595,600.12/133,853.88
  6. Step 6: Final answer
    x = 72,665.77

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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.