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Finding the Fourth Proportional to 321,195.78, 443,237.13 and 177,961.86

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Solution

The fourth proportional to 321,195.78, 443,237.13 and 177,961.86 is: 245,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,195.78 : 443,237.13 = 177,961.86 : x
  2. Step 2: Convert to fraction form
    321,195.78/443,237.13 = 177,961.86/x
  3. Step 3: Cross multiply
    321,195.78x = 443,237.13 × 177,961.86
  4. Step 4: Simplify right side
    321,195.78x = 78,879,304,075.86
  5. Step 5: Solve for x
    x = 78,879,304,075.86/321,195.78
  6. Step 6: Final answer
    x = 245,580.14

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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.