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Finding the Fourth Proportional to 123,106.68, 184,660.02 and 29,612.43

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Solution

The fourth proportional to 123,106.68, 184,660.02 and 29,612.43 is: 44,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,106.68 : 184,660.02 = 29,612.43 : x
  2. Step 2: Convert to fraction form
    123,106.68/184,660.02 = 29,612.43/x
  3. Step 3: Cross multiply
    123,106.68x = 184,660.02 × 29,612.43
  4. Step 4: Simplify right side
    123,106.68x = 5,468,231,916.05
  5. Step 5: Solve for x
    x = 5,468,231,916.05/123,106.68
  6. Step 6: Final answer
    x = 44,418.65

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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.