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Finding the Fourth Proportional to 188,761.82, 260,497.47 and 108,204.57

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Solution

The fourth proportional to 188,761.82, 260,497.47 and 108,204.57 is: 149,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,761.82 : 260,497.47 = 108,204.57 : x
  2. Step 2: Convert to fraction form
    188,761.82/260,497.47 = 108,204.57/x
  3. Step 3: Cross multiply
    188,761.82x = 260,497.47 × 108,204.57
  4. Step 4: Simplify right side
    188,761.82x = 28,187,016,727.44
  5. Step 5: Solve for x
    x = 28,187,016,727.44/188,761.82
  6. Step 6: Final answer
    x = 149,325.84

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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.