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Finding the Fourth Proportional to 200,604.49, 276,837.31 and 120,035.41

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Solution

The fourth proportional to 200,604.49, 276,837.31 and 120,035.41 is: 165,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,604.49 : 276,837.31 = 120,035.41 : x
  2. Step 2: Convert to fraction form
    200,604.49/276,837.31 = 120,035.41/x
  3. Step 3: Cross multiply
    200,604.49x = 276,837.31 × 120,035.41
  4. Step 4: Simplify right side
    200,604.49x = 33,230,280,009.15
  5. Step 5: Solve for x
    x = 33,230,280,009.15/200,604.49
  6. Step 6: Final answer
    x = 165,650.73

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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.