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Finding the Fourth Proportional to 99,778.33, 149,743.64 and 36,658.27

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Solution

The fourth proportional to 99,778.33, 149,743.64 and 36,658.27 is: 55,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.33 : 149,743.64 = 36,658.27 : x
  2. Step 2: Convert to fraction form
    99,778.33/149,743.64 = 36,658.27/x
  3. Step 3: Cross multiply
    99,778.33x = 149,743.64 × 36,658.27
  4. Step 4: Simplify right side
    99,778.33x = 5,489,342,785.90
  5. Step 5: Solve for x
    x = 5,489,342,785.90/99,778.33
  6. Step 6: Final answer
    x = 55,015.38

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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.