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Finding the Fourth Proportional to 123,169.19, 184,753.46 and 29,674.94

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Solution

The fourth proportional to 123,169.19, 184,753.46 and 29,674.94 is: 44,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,169.19 : 184,753.46 = 29,674.94 : x
  2. Step 2: Convert to fraction form
    123,169.19/184,753.46 = 29,674.94/x
  3. Step 3: Cross multiply
    123,169.19x = 184,753.46 × 29,674.94
  4. Step 4: Simplify right side
    123,169.19x = 5,482,546,768.15
  5. Step 5: Solve for x
    x = 5,482,546,768.15/123,169.19
  6. Step 6: Final answer
    x = 44,512.32

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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.