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Finding the Fourth Proportional to 188,214.77, 259,738.25 and 102,174.42

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Solution

The fourth proportional to 188,214.77, 259,738.25 and 102,174.42 is: 141,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214.77 : 259,738.25 = 102,174.42 : x
  2. Step 2: Convert to fraction form
    188,214.77/259,738.25 = 102,174.42/x
  3. Step 3: Cross multiply
    188,214.77x = 259,738.25 × 102,174.42
  4. Step 4: Simplify right side
    188,214.77x = 26,538,605,045.57
  5. Step 5: Solve for x
    x = 26,538,605,045.57/188,214.77
  6. Step 6: Final answer
    x = 141,001.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.