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Finding the Fourth Proportional to 133,843.42, 200,497.46 and 80,505.94

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Solution

The fourth proportional to 133,843.42, 200,497.46 and 80,505.94 is: 120,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.42 : 200,497.46 = 80,505.94 : x
  2. Step 2: Convert to fraction form
    133,843.42/200,497.46 = 80,505.94/x
  3. Step 3: Cross multiply
    133,843.42x = 200,497.46 × 80,505.94
  4. Step 4: Simplify right side
    133,843.42x = 16,141,236,484.91
  5. Step 5: Solve for x
    x = 16,141,236,484.91/133,843.42
  6. Step 6: Final answer
    x = 120,597.91

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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.