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Finding the Fourth Proportional to 188,163.20, 259,668.16 and 103,288

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Solution

The fourth proportional to 188,163.20, 259,668.16 and 103,288 is: 142,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,163.20 : 259,668.16 = 103,288 : x
  2. Step 2: Convert to fraction form
    188,163.20/259,668.16 = 103,288/x
  3. Step 3: Cross multiply
    188,163.20x = 259,668.16 × 103,288
  4. Step 4: Simplify right side
    188,163.20x = 26,820,604,910.08
  5. Step 5: Solve for x
    x = 26,820,604,910.08/188,163.20
  6. Step 6: Final answer
    x = 142,539.06

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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.