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Finding the Fourth Proportional to 321,196.83, 443,245.88 and 177,954

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Solution

The fourth proportional to 321,196.83, 443,245.88 and 177,954 is: 245,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,196.83 : 443,245.88 = 177,954 : x
  2. Step 2: Convert to fraction form
    321,196.83/443,245.88 = 177,954/x
  3. Step 3: Cross multiply
    321,196.83x = 443,245.88 × 177,954
  4. Step 4: Simplify right side
    321,196.83x = 78,877,377,329.52
  5. Step 5: Solve for x
    x = 78,877,377,329.52/321,196.83
  6. Step 6: Final answer
    x = 245,573.34

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