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Finding the Fourth Proportional to 101,516.38, 140,093.84 and 56,198.55

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Solution

The fourth proportional to 101,516.38, 140,093.84 and 56,198.55 is: 77,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516.38 : 140,093.84 = 56,198.55 : x
  2. Step 2: Convert to fraction form
    101,516.38/140,093.84 = 56,198.55/x
  3. Step 3: Cross multiply
    101,516.38x = 140,093.84 × 56,198.55
  4. Step 4: Simplify right side
    101,516.38x = 7,873,070,671.93
  5. Step 5: Solve for x
    x = 7,873,070,671.93/101,516.38
  6. Step 6: Final answer
    x = 77,554.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.