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Finding the Fourth Proportional to 321,160.36, 443,200.98 and 177,929.32

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Solution

The fourth proportional to 321,160.36, 443,200.98 and 177,929.32 is: 245,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,160.36 : 443,200.98 = 177,929.32 : x
  2. Step 2: Convert to fraction form
    321,160.36/443,200.98 = 177,929.32/x
  3. Step 3: Cross multiply
    321,160.36x = 443,200.98 × 177,929.32
  4. Step 4: Simplify right side
    321,160.36x = 78,858,448,994.73
  5. Step 5: Solve for x
    x = 78,858,448,994.73/321,160.36
  6. Step 6: Final answer
    x = 245,542.29

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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.