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Finding the Fourth Proportional to 177,906.24, 245,470.42 and 106,272.24

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Solution

The fourth proportional to 177,906.24, 245,470.42 and 106,272.24 is: 146,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,906.24 : 245,470.42 = 106,272.24 : x
  2. Step 2: Convert to fraction form
    177,906.24/245,470.42 = 106,272.24/x
  3. Step 3: Cross multiply
    177,906.24x = 245,470.42 × 106,272.24
  4. Step 4: Simplify right side
    177,906.24x = 26,086,691,387.14
  5. Step 5: Solve for x
    x = 26,086,691,387.14/177,906.24
  6. Step 6: Final answer
    x = 146,631.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.