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Finding the Fourth Proportional to 123,294.94, 184,942.44 and 29,800.68

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Solution

The fourth proportional to 123,294.94, 184,942.44 and 29,800.68 is: 44,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,294.94 : 184,942.44 = 29,800.68 : x
  2. Step 2: Convert to fraction form
    123,294.94/184,942.44 = 29,800.68/x
  3. Step 3: Cross multiply
    123,294.94x = 184,942.44 × 29,800.68
  4. Step 4: Simplify right side
    123,294.94x = 5,511,410,472.86
  5. Step 5: Solve for x
    x = 5,511,410,472.86/123,294.94
  6. Step 6: Final answer
    x = 44,701.03

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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.