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Finding the Fourth Proportional to 295,687.80, 408,040.46 and 161,551.80

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Solution

The fourth proportional to 295,687.80, 408,040.46 and 161,551.80 is: 222,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.80 : 408,040.46 = 161,551.80 : x
  2. Step 2: Convert to fraction form
    295,687.80/408,040.46 = 161,551.80/x
  3. Step 3: Cross multiply
    295,687.80x = 408,040.46 × 161,551.80
  4. Step 4: Simplify right side
    295,687.80x = 65,919,670,785.83
  5. Step 5: Solve for x
    x = 65,919,670,785.83/295,687.80
  6. Step 6: Final answer
    x = 222,936.73

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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.