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Finding the Fourth Proportional to 321,203.07, 443,241.72 and 177,954.57

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Solution

The fourth proportional to 321,203.07, 443,241.72 and 177,954.57 is: 245,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,203.07 : 443,241.72 = 177,954.57 : x
  2. Step 2: Convert to fraction form
    321,203.07/443,241.72 = 177,954.57/x
  3. Step 3: Cross multiply
    321,203.07x = 443,241.72 × 177,954.57
  4. Step 4: Simplify right side
    321,203.07x = 78,876,889,688.66
  5. Step 5: Solve for x
    x = 78,876,889,688.66/321,203.07
  6. Step 6: Final answer
    x = 245,567.05

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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.