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Finding the Fourth Proportional to 321,194.70, 443,252.25 and 177,957

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Solution

The fourth proportional to 321,194.70, 443,252.25 and 177,957 is: 245,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,194.70 : 443,252.25 = 177,957 : x
  2. Step 2: Convert to fraction form
    321,194.70/443,252.25 = 177,957/x
  3. Step 3: Cross multiply
    321,194.70x = 443,252.25 × 177,957
  4. Step 4: Simplify right side
    321,194.70x = 78,879,840,653.25
  5. Step 5: Solve for x
    x = 78,879,840,653.25/321,194.70
  6. Step 6: Final answer
    x = 245,582.63

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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.