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Finding the Fourth Proportional to 200,256, 276,354.09 and 110,832

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Solution

The fourth proportional to 200,256, 276,354.09 and 110,832 is: 152,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,256 : 276,354.09 = 110,832 : x
  2. Step 2: Convert to fraction form
    200,256/276,354.09 = 110,832/x
  3. Step 3: Cross multiply
    200,256x = 276,354.09 × 110,832
  4. Step 4: Simplify right side
    200,256x = 30,628,876,502.88
  5. Step 5: Solve for x
    x = 30,628,876,502.88/200,256
  6. Step 6: Final answer
    x = 152,948.61

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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.