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Finding the Fourth Proportional to 184,493.78, 276,471.38 and 81,787.20

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Solution

The fourth proportional to 184,493.78, 276,471.38 and 81,787.20 is: 122,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,493.78 : 276,471.38 = 81,787.20 : x
  2. Step 2: Convert to fraction form
    184,493.78/276,471.38 = 81,787.20/x
  3. Step 3: Cross multiply
    184,493.78x = 276,471.38 × 81,787.20
  4. Step 4: Simplify right side
    184,493.78x = 22,611,820,050.34
  5. Step 5: Solve for x
    x = 22,611,820,050.34/184,493.78
  6. Step 6: Final answer
    x = 122,561.42

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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.