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Finding the Fourth Proportional to 188,295, 259,870.14 and 108,807

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Solution

The fourth proportional to 188,295, 259,870.14 and 108,807 is: 150,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295 : 259,870.14 = 108,807 : x
  2. Step 2: Convert to fraction form
    188,295/259,870.14 = 108,807/x
  3. Step 3: Cross multiply
    188,295x = 259,870.14 × 108,807
  4. Step 4: Simplify right side
    188,295x = 28,275,690,322.98
  5. Step 5: Solve for x
    x = 28,275,690,322.98/188,295
  6. Step 6: Final answer
    x = 150,166.97

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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.