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Finding the Fourth Proportional to 123,253.44, 184,865.88 and 34,514.04

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Solution

The fourth proportional to 123,253.44, 184,865.88 and 34,514.04 is: 51,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,253.44 : 184,865.88 = 34,514.04 : x
  2. Step 2: Convert to fraction form
    123,253.44/184,865.88 = 34,514.04/x
  3. Step 3: Cross multiply
    123,253.44x = 184,865.88 × 34,514.04
  4. Step 4: Simplify right side
    123,253.44x = 6,380,468,376.96
  5. Step 5: Solve for x
    x = 6,380,468,376.96/123,253.44
  6. Step 6: Final answer
    x = 51,767.06

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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.