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Finding the Fourth Proportional to 242,644.86, 363,982.77 and 74,171.13

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Solution

The fourth proportional to 242,644.86, 363,982.77 and 74,171.13 is: 111,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,644.86 : 363,982.77 = 74,171.13 : x
  2. Step 2: Convert to fraction form
    242,644.86/363,982.77 = 74,171.13/x
  3. Step 3: Cross multiply
    242,644.86x = 363,982.77 × 74,171.13
  4. Step 4: Simplify right side
    242,644.86x = 26,997,013,351.43
  5. Step 5: Solve for x
    x = 26,997,013,351.43/242,644.86
  6. Step 6: Final answer
    x = 111,261.43

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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.