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Finding the Fourth Proportional to 123,103.68, 184,655.52 and 29,609.43

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Solution

The fourth proportional to 123,103.68, 184,655.52 and 29,609.43 is: 44,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,103.68 : 184,655.52 = 29,609.43 : x
  2. Step 2: Convert to fraction form
    123,103.68/184,655.52 = 29,609.43/x
  3. Step 3: Cross multiply
    123,103.68x = 184,655.52 × 29,609.43
  4. Step 4: Simplify right side
    123,103.68x = 5,467,544,693.55
  5. Step 5: Solve for x
    x = 5,467,544,693.55/123,103.68
  6. Step 6: Final answer
    x = 44,414.15

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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.