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Finding the Fourth Proportional to 200,676.93, 301,015.40 and 67,546.04

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Solution

The fourth proportional to 200,676.93, 301,015.40 and 67,546.04 is: 101,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676.93 : 301,015.40 = 67,546.04 : x
  2. Step 2: Convert to fraction form
    200,676.93/301,015.40 = 67,546.04/x
  3. Step 3: Cross multiply
    200,676.93x = 301,015.40 × 67,546.04
  4. Step 4: Simplify right side
    200,676.93x = 20,332,398,249.02
  5. Step 5: Solve for x
    x = 20,332,398,249.02/200,676.93
  6. Step 6: Final answer
    x = 101,319.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.