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Finding the Fourth Proportional to 133,374.66, 199,776.84 and 107,964.42

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Solution

The fourth proportional to 133,374.66, 199,776.84 and 107,964.42 is: 161,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,374.66 : 199,776.84 = 107,964.42 : x
  2. Step 2: Convert to fraction form
    133,374.66/199,776.84 = 107,964.42/x
  3. Step 3: Cross multiply
    133,374.66x = 199,776.84 × 107,964.42
  4. Step 4: Simplify right side
    133,374.66x = 21,568,790,660.03
  5. Step 5: Solve for x
    x = 21,568,790,660.03/133,374.66
  6. Step 6: Final answer
    x = 161,715.81

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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.