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Finding the Fourth Proportional to 378,100.22, 567,234.42 and 164,902.60

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Solution

The fourth proportional to 378,100.22, 567,234.42 and 164,902.60 is: 247,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,100.22 : 567,234.42 = 164,902.60 : x
  2. Step 2: Convert to fraction form
    378,100.22/567,234.42 = 164,902.60/x
  3. Step 3: Cross multiply
    378,100.22x = 567,234.42 × 164,902.60
  4. Step 4: Simplify right side
    378,100.22x = 93,538,430,758.15
  5. Step 5: Solve for x
    x = 93,538,430,758.15/378,100.22
  6. Step 6: Final answer
    x = 247,390.58

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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.