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Finding the Fourth Proportional to 123,305.46, 184,914.42 and 44,398.50

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Solution

The fourth proportional to 123,305.46, 184,914.42 and 44,398.50 is: 66,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305.46 : 184,914.42 = 44,398.50 : x
  2. Step 2: Convert to fraction form
    123,305.46/184,914.42 = 44,398.50/x
  3. Step 3: Cross multiply
    123,305.46x = 184,914.42 × 44,398.50
  4. Step 4: Simplify right side
    123,305.46x = 8,209,922,876.37
  5. Step 5: Solve for x
    x = 8,209,922,876.37/123,305.46
  6. Step 6: Final answer
    x = 66,581.99

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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.