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Finding the Fourth Proportional to 182,968.80, 274,453.20 and 166,639.20

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Solution

The fourth proportional to 182,968.80, 274,453.20 and 166,639.20 is: 249,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,968.80 : 274,453.20 = 166,639.20 : x
  2. Step 2: Convert to fraction form
    182,968.80/274,453.20 = 166,639.20/x
  3. Step 3: Cross multiply
    182,968.80x = 274,453.20 × 166,639.20
  4. Step 4: Simplify right side
    182,968.80x = 45,734,661,685.44
  5. Step 5: Solve for x
    x = 45,734,661,685.44/182,968.80
  6. Step 6: Final answer
    x = 249,958.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.