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Finding the Fourth Proportional to 192,957.80, 289,328.34 and 132,236.60

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Solution

The fourth proportional to 192,957.80, 289,328.34 and 132,236.60 is: 198,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,957.80 : 289,328.34 = 132,236.60 : x
  2. Step 2: Convert to fraction form
    192,957.80/289,328.34 = 132,236.60/x
  3. Step 3: Cross multiply
    192,957.80x = 289,328.34 × 132,236.60
  4. Step 4: Simplify right side
    192,957.80x = 38,259,795,965.24
  5. Step 5: Solve for x
    x = 38,259,795,965.24/192,957.80
  6. Step 6: Final answer
    x = 198,280.64

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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.