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Finding the Fourth Proportional to 200,657.78, 276,910.85 and 110,022.02

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Solution

The fourth proportional to 200,657.78, 276,910.85 and 110,022.02 is: 151,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.78 : 276,910.85 = 110,022.02 : x
  2. Step 2: Convert to fraction form
    200,657.78/276,910.85 = 110,022.02/x
  3. Step 3: Cross multiply
    200,657.78x = 276,910.85 × 110,022.02
  4. Step 4: Simplify right side
    200,657.78x = 30,466,291,076.92
  5. Step 5: Solve for x
    x = 30,466,291,076.92/200,657.78
  6. Step 6: Final answer
    x = 151,832.09

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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.