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Finding the Fourth Proportional to 321,196.32, 443,232.41 and 177,947.82

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Solution

The fourth proportional to 321,196.32, 443,232.41 and 177,947.82 is: 245,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,196.32 : 443,232.41 = 177,947.82 : x
  2. Step 2: Convert to fraction form
    321,196.32/443,232.41 = 177,947.82/x
  3. Step 3: Cross multiply
    321,196.32x = 443,232.41 × 177,947.82
  4. Step 4: Simplify right side
    321,196.32x = 78,872,240,223.11
  5. Step 5: Solve for x
    x = 78,872,240,223.11/321,196.32
  6. Step 6: Final answer
    x = 245,557.73

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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.