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Finding the Fourth Proportional to 123,908.70, 185,758.56 and 53,735.16

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Solution

The fourth proportional to 123,908.70, 185,758.56 and 53,735.16 is: 80,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,908.70 : 185,758.56 = 53,735.16 : x
  2. Step 2: Convert to fraction form
    123,908.70/185,758.56 = 53,735.16/x
  3. Step 3: Cross multiply
    123,908.70x = 185,758.56 × 53,735.16
  4. Step 4: Simplify right side
    123,908.70x = 9,981,765,942.97
  5. Step 5: Solve for x
    x = 9,981,765,942.97/123,908.70
  6. Step 6: Final answer
    x = 80,557.43

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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.