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Finding the Fourth Proportional to 230,020.54, 317,100.36 and 178,943.56

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Solution

The fourth proportional to 230,020.54, 317,100.36 and 178,943.56 is: 246,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,020.54 : 317,100.36 = 178,943.56 : x
  2. Step 2: Convert to fraction form
    230,020.54/317,100.36 = 178,943.56/x
  3. Step 3: Cross multiply
    230,020.54x = 317,100.36 × 178,943.56
  4. Step 4: Simplify right side
    230,020.54x = 56,743,067,295.68
  5. Step 5: Solve for x
    x = 56,743,067,295.68/230,020.54
  6. Step 6: Final answer
    x = 246,686.96

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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.