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Finding the Fourth Proportional to 321,194.95, 443,230.51 and 177,946.45

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Solution

The fourth proportional to 321,194.95, 443,230.51 and 177,946.45 is: 245,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,194.95 : 443,230.51 = 177,946.45 : x
  2. Step 2: Convert to fraction form
    321,194.95/443,230.51 = 177,946.45/x
  3. Step 3: Cross multiply
    321,194.95x = 443,230.51 × 177,946.45
  4. Step 4: Simplify right side
    321,194.95x = 78,871,295,786.19
  5. Step 5: Solve for x
    x = 78,871,295,786.19/321,194.95
  6. Step 6: Final answer
    x = 245,555.84

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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.