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Finding the Fourth Proportional to 123,863.72, 185,795.23 and 35,117.98

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Solution

The fourth proportional to 123,863.72, 185,795.23 and 35,117.98 is: 52,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,863.72 : 185,795.23 = 35,117.98 : x
  2. Step 2: Convert to fraction form
    123,863.72/185,795.23 = 35,117.98/x
  3. Step 3: Cross multiply
    123,863.72x = 185,795.23 × 35,117.98
  4. Step 4: Simplify right side
    123,863.72x = 6,524,753,171.24
  5. Step 5: Solve for x
    x = 6,524,753,171.24/123,863.72
  6. Step 6: Final answer
    x = 52,676.87

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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.