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Finding the Fourth Proportional to 200,680.96, 276,948.22 and 120,092.90

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Solution

The fourth proportional to 200,680.96, 276,948.22 and 120,092.90 is: 165,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,680.96 : 276,948.22 = 120,092.90 : x
  2. Step 2: Convert to fraction form
    200,680.96/276,948.22 = 120,092.90/x
  3. Step 3: Cross multiply
    200,680.96x = 276,948.22 × 120,092.90
  4. Step 4: Simplify right side
    200,680.96x = 33,259,514,889.64
  5. Step 5: Solve for x
    x = 33,259,514,889.64/200,680.96
  6. Step 6: Final answer
    x = 165,733.29

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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.