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Finding the Fourth Proportional to 200,324.82, 276,360.03 and 119,711.82

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Solution

The fourth proportional to 200,324.82, 276,360.03 and 119,711.82 is: 165,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,324.82 : 276,360.03 = 119,711.82 : x
  2. Step 2: Convert to fraction form
    200,324.82/276,360.03 = 119,711.82/x
  3. Step 3: Cross multiply
    200,324.82x = 276,360.03 × 119,711.82
  4. Step 4: Simplify right side
    200,324.82x = 33,083,562,166.55
  5. Step 5: Solve for x
    x = 33,083,562,166.55/200,324.82
  6. Step 6: Final answer
    x = 165,149.59

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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.