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Finding the Fourth Proportional to 200,655, 276,902.04 and 110,016

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Solution

The fourth proportional to 200,655, 276,902.04 and 110,016 is: 151,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,655 : 276,902.04 = 110,016 : x
  2. Step 2: Convert to fraction form
    200,655/276,902.04 = 110,016/x
  3. Step 3: Cross multiply
    200,655x = 276,902.04 × 110,016
  4. Step 4: Simplify right side
    200,655x = 30,463,654,832.64
  5. Step 5: Solve for x
    x = 30,463,654,832.64/200,655
  6. Step 6: Final answer
    x = 151,821.06

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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.