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Finding the Fourth Proportional to 123,227.84, 184,821.44 and 44,327.36

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Solution

The fourth proportional to 123,227.84, 184,821.44 and 44,327.36 is: 66,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,227.84 : 184,821.44 = 44,327.36 : x
  2. Step 2: Convert to fraction form
    123,227.84/184,821.44 = 44,327.36/x
  3. Step 3: Cross multiply
    123,227.84x = 184,821.44 × 44,327.36
  4. Step 4: Simplify right side
    123,227.84x = 8,192,646,506.60
  5. Step 5: Solve for x
    x = 8,192,646,506.60/123,227.84
  6. Step 6: Final answer
    x = 66,483.73

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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.