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Finding the Fourth Proportional to 200,699.44, 276,921.86 and 115,767.29

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Solution

The fourth proportional to 200,699.44, 276,921.86 and 115,767.29 is: 159,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,699.44 : 276,921.86 = 115,767.29 : x
  2. Step 2: Convert to fraction form
    200,699.44/276,921.86 = 115,767.29/x
  3. Step 3: Cross multiply
    200,699.44x = 276,921.86 × 115,767.29
  4. Step 4: Simplify right side
    200,699.44x = 32,058,493,387.43
  5. Step 5: Solve for x
    x = 32,058,493,387.43/200,699.44
  6. Step 6: Final answer
    x = 159,733.85

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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.