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Finding the Fourth Proportional to 188,074.82, 259,541.60 and 102,033.66

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Solution

The fourth proportional to 188,074.82, 259,541.60 and 102,033.66 is: 140,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,074.82 : 259,541.60 = 102,033.66 : x
  2. Step 2: Convert to fraction form
    188,074.82/259,541.60 = 102,033.66/x
  3. Step 3: Cross multiply
    188,074.82x = 259,541.60 × 102,033.66
  4. Step 4: Simplify right side
    188,074.82x = 26,481,979,370.26
  5. Step 5: Solve for x
    x = 26,481,979,370.26/188,074.82
  6. Step 6: Final answer
    x = 140,805.55

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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.