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Finding the Fourth Proportional to 101,758.41, 152,660.86 and 35,198.48

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Solution

The fourth proportional to 101,758.41, 152,660.86 and 35,198.48 is: 52,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758.41 : 152,660.86 = 35,198.48 : x
  2. Step 2: Convert to fraction form
    101,758.41/152,660.86 = 35,198.48/x
  3. Step 3: Cross multiply
    101,758.41x = 152,660.86 × 35,198.48
  4. Step 4: Simplify right side
    101,758.41x = 5,373,430,227.49
  5. Step 5: Solve for x
    x = 5,373,430,227.49/101,758.41
  6. Step 6: Final answer
    x = 52,805.76

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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.