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Finding the Fourth Proportional to 110,358.82, 165,513.60 and 51,186.82

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Solution

The fourth proportional to 110,358.82, 165,513.60 and 51,186.82 is: 76,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,358.82 : 165,513.60 = 51,186.82 : x
  2. Step 2: Convert to fraction form
    110,358.82/165,513.60 = 51,186.82/x
  3. Step 3: Cross multiply
    110,358.82x = 165,513.60 × 51,186.82
  4. Step 4: Simplify right side
    110,358.82x = 8,472,114,850.75
  5. Step 5: Solve for x
    x = 8,472,114,850.75/110,358.82
  6. Step 6: Final answer
    x = 76,768.81

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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.