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Finding the Fourth Proportional to 188,336.50, 259,906.28 and 102,297.16

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Solution

The fourth proportional to 188,336.50, 259,906.28 and 102,297.16 is: 141,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,336.50 : 259,906.28 = 102,297.16 : x
  2. Step 2: Convert to fraction form
    188,336.50/259,906.28 = 102,297.16/x
  3. Step 3: Cross multiply
    188,336.50x = 259,906.28 × 102,297.16
  4. Step 4: Simplify right side
    188,336.50x = 26,587,675,358.04
  5. Step 5: Solve for x
    x = 26,587,675,358.04/188,336.50
  6. Step 6: Final answer
    x = 141,171.12

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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.