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Finding the Fourth Proportional to 300,858.86, 451,310.98 and 101,179.82

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Solution

The fourth proportional to 300,858.86, 451,310.98 and 101,179.82 is: 151,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,858.86 : 451,310.98 = 101,179.82 : x
  2. Step 2: Convert to fraction form
    300,858.86/451,310.98 = 101,179.82/x
  3. Step 3: Cross multiply
    300,858.86x = 451,310.98 × 101,179.82
  4. Step 4: Simplify right side
    300,858.86x = 45,663,563,720.42
  5. Step 5: Solve for x
    x = 45,663,563,720.42/300,858.86
  6. Step 6: Final answer
    x = 151,777.36

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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.