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Finding the Fourth Proportional to 177,409.50, 244,866.25 and 116,991.06

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Solution

The fourth proportional to 177,409.50, 244,866.25 and 116,991.06 is: 161,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,409.50 : 244,866.25 = 116,991.06 : x
  2. Step 2: Convert to fraction form
    177,409.50/244,866.25 = 116,991.06/x
  3. Step 3: Cross multiply
    177,409.50x = 244,866.25 × 116,991.06
  4. Step 4: Simplify right side
    177,409.50x = 28,647,162,145.73
  5. Step 5: Solve for x
    x = 28,647,162,145.73/177,409.50
  6. Step 6: Final answer
    x = 161,474.79

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Why These Related Problems?

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