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Finding the Fourth Proportional to 242,122.88, 363,524.64 and 123,879.04

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Solution

The fourth proportional to 242,122.88, 363,524.64 and 123,879.04 is: 185,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,122.88 : 363,524.64 = 123,879.04 : x
  2. Step 2: Convert to fraction form
    242,122.88/363,524.64 = 123,879.04/x
  3. Step 3: Cross multiply
    242,122.88x = 363,524.64 × 123,879.04
  4. Step 4: Simplify right side
    242,122.88x = 45,033,083,419.55
  5. Step 5: Solve for x
    x = 45,033,083,419.55/242,122.88
  6. Step 6: Final answer
    x = 185,992.68

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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.