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Finding the Fourth Proportional to 364,194.83, 546,356.85 and 111,469.73

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Solution

The fourth proportional to 364,194.83, 546,356.85 and 111,469.73 is: 167,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,194.83 : 546,356.85 = 111,469.73 : x
  2. Step 2: Convert to fraction form
    364,194.83/546,356.85 = 111,469.73/x
  3. Step 3: Cross multiply
    364,194.83x = 546,356.85 × 111,469.73
  4. Step 4: Simplify right side
    364,194.83x = 60,902,250,553.15
  5. Step 5: Solve for x
    x = 60,902,250,553.15/364,194.83
  6. Step 6: Final answer
    x = 167,224.37

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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.