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Finding the Fourth Proportional to 188,222.70, 259,633.20 and 111,691.38

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Solution

The fourth proportional to 188,222.70, 259,633.20 and 111,691.38 is: 154,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,222.70 : 259,633.20 = 111,691.38 : x
  2. Step 2: Convert to fraction form
    188,222.70/259,633.20 = 111,691.38/x
  3. Step 3: Cross multiply
    188,222.70x = 259,633.20 × 111,691.38
  4. Step 4: Simplify right side
    188,222.70x = 28,998,790,401.82
  5. Step 5: Solve for x
    x = 28,998,790,401.82/188,222.70
  6. Step 6: Final answer
    x = 154,066.38

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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.