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Finding the Fourth Proportional to 203,433.90, 305,150.85 and 164,067.90

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Solution

The fourth proportional to 203,433.90, 305,150.85 and 164,067.90 is: 246,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.90 : 305,150.85 = 164,067.90 : x
  2. Step 2: Convert to fraction form
    203,433.90/305,150.85 = 164,067.90/x
  3. Step 3: Cross multiply
    203,433.90x = 305,150.85 × 164,067.90
  4. Step 4: Simplify right side
    203,433.90x = 50,065,459,142.72
  5. Step 5: Solve for x
    x = 50,065,459,142.72/203,433.90
  6. Step 6: Final answer
    x = 246,101.85

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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.