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Finding the Fourth Proportional to 301,049.72, 451,517.10 and 151,248.42

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Solution

The fourth proportional to 301,049.72, 451,517.10 and 151,248.42 is: 226,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,049.72 : 451,517.10 = 151,248.42 : x
  2. Step 2: Convert to fraction form
    301,049.72/451,517.10 = 151,248.42/x
  3. Step 3: Cross multiply
    301,049.72x = 451,517.10 × 151,248.42
  4. Step 4: Simplify right side
    301,049.72x = 68,291,247,977.98
  5. Step 5: Solve for x
    x = 68,291,247,977.98/301,049.72
  6. Step 6: Final answer
    x = 226,843.75

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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.