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Finding the Fourth Proportional to 188,454.88, 259,959.44 and 117,676

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Solution

The fourth proportional to 188,454.88, 259,959.44 and 117,676 is: 162,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,454.88 : 259,959.44 = 117,676 : x
  2. Step 2: Convert to fraction form
    188,454.88/259,959.44 = 117,676/x
  3. Step 3: Cross multiply
    188,454.88x = 259,959.44 × 117,676
  4. Step 4: Simplify right side
    188,454.88x = 30,590,987,061.44
  5. Step 5: Solve for x
    x = 30,590,987,061.44/188,454.88
  6. Step 6: Final answer
    x = 162,325.26

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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.