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Finding the Fourth Proportional to 188,021.25, 259,469.33 and 103,140.14

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Solution

The fourth proportional to 188,021.25, 259,469.33 and 103,140.14 is: 142,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,021.25 : 259,469.33 = 103,140.14 : x
  2. Step 2: Convert to fraction form
    188,021.25/259,469.33 = 103,140.14/x
  3. Step 3: Cross multiply
    188,021.25x = 259,469.33 × 103,140.14
  4. Step 4: Simplify right side
    188,021.25x = 26,761,701,208.86
  5. Step 5: Solve for x
    x = 26,761,701,208.86/188,021.25
  6. Step 6: Final answer
    x = 142,333.39

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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.