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Finding the Fourth Proportional to 188,212.27, 259,733.13 and 102,171.21

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Solution

The fourth proportional to 188,212.27, 259,733.13 and 102,171.21 is: 140,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.27 : 259,733.13 = 102,171.21 : x
  2. Step 2: Convert to fraction form
    188,212.27/259,733.13 = 102,171.21/x
  3. Step 3: Cross multiply
    188,212.27x = 259,733.13 × 102,171.21
  4. Step 4: Simplify right side
    188,212.27x = 26,537,248,169.19
  5. Step 5: Solve for x
    x = 26,537,248,169.19/188,212.27
  6. Step 6: Final answer
    x = 140,996.38

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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.