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Finding the Fourth Proportional to 101,082.81, 151,717.32 and 51,197.64

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Solution

The fourth proportional to 101,082.81, 151,717.32 and 51,197.64 is: 76,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082.81 : 151,717.32 = 51,197.64 : x
  2. Step 2: Convert to fraction form
    101,082.81/151,717.32 = 51,197.64/x
  3. Step 3: Cross multiply
    101,082.81x = 151,717.32 × 51,197.64
  4. Step 4: Simplify right side
    101,082.81x = 7,767,568,475.14
  5. Step 5: Solve for x
    x = 7,767,568,475.14/101,082.81
  6. Step 6: Final answer
    x = 76,843.61

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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.