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Finding the Fourth Proportional to 123,192, 184,787.84 and 29,697.74

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Solution

The fourth proportional to 123,192, 184,787.84 and 29,697.74 is: 44,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,192 : 184,787.84 = 29,697.74 : x
  2. Step 2: Convert to fraction form
    123,192/184,787.84 = 29,697.74/x
  3. Step 3: Cross multiply
    123,192x = 184,787.84 × 29,697.74
  4. Step 4: Simplify right side
    123,192x = 5,487,781,227.48
  5. Step 5: Solve for x
    x = 5,487,781,227.48/123,192
  6. Step 6: Final answer
    x = 44,546.57

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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.