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Finding the Fourth Proportional to 184,843.52, 255,024.96 and 109,377.44

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Solution

The fourth proportional to 184,843.52, 255,024.96 and 109,377.44 is: 150,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,843.52 : 255,024.96 = 109,377.44 : x
  2. Step 2: Convert to fraction form
    184,843.52/255,024.96 = 109,377.44/x
  3. Step 3: Cross multiply
    184,843.52x = 255,024.96 × 109,377.44
  4. Step 4: Simplify right side
    184,843.52x = 27,893,977,260.90
  5. Step 5: Solve for x
    x = 27,893,977,260.90/184,843.52
  6. Step 6: Final answer
    x = 150,905.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.