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Finding the Fourth Proportional to 321,097.32, 443,114.33 and 177,866.64

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Solution

The fourth proportional to 321,097.32, 443,114.33 and 177,866.64 is: 245,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,097.32 : 443,114.33 = 177,866.64 : x
  2. Step 2: Convert to fraction form
    321,097.32/443,114.33 = 177,866.64/x
  3. Step 3: Cross multiply
    321,097.32x = 443,114.33 × 177,866.64
  4. Step 4: Simplify right side
    321,097.32x = 78,815,256,123.62
  5. Step 5: Solve for x
    x = 78,815,256,123.62/321,097.32
  6. Step 6: Final answer
    x = 245,455.98

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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.