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Finding the Fourth Proportional to 321,193.76, 443,235.60 and 185,233.41

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Solution

The fourth proportional to 321,193.76, 443,235.60 and 185,233.41 is: 255,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,193.76 : 443,235.60 = 185,233.41 : x
  2. Step 2: Convert to fraction form
    321,193.76/443,235.60 = 185,233.41/x
  3. Step 3: Cross multiply
    321,193.76x = 443,235.60 × 185,233.41
  4. Step 4: Simplify right side
    321,193.76x = 82,102,041,621.40
  5. Step 5: Solve for x
    x = 82,102,041,621.40/321,193.76
  6. Step 6: Final answer
    x = 255,615.31

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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.