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Finding the Fourth Proportional to 133,843.14, 200,497.02 and 80,505.66

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Solution

The fourth proportional to 133,843.14, 200,497.02 and 80,505.66 is: 120,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.14 : 200,497.02 = 80,505.66 : x
  2. Step 2: Convert to fraction form
    133,843.14/200,497.02 = 80,505.66/x
  3. Step 3: Cross multiply
    133,843.14x = 200,497.02 × 80,505.66
  4. Step 4: Simplify right side
    133,843.14x = 16,141,144,923.13
  5. Step 5: Solve for x
    x = 16,141,144,923.13/133,843.14
  6. Step 6: Final answer
    x = 120,597.48

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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.