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Finding the Fourth Proportional to 273,963.20, 410,685.60 and 161,729.60

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Solution

The fourth proportional to 273,963.20, 410,685.60 and 161,729.60 is: 242,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,963.20 : 410,685.60 = 161,729.60 : x
  2. Step 2: Convert to fraction form
    273,963.20/410,685.60 = 161,729.60/x
  3. Step 3: Cross multiply
    273,963.20x = 410,685.60 × 161,729.60
  4. Step 4: Simplify right side
    273,963.20x = 66,420,017,813.76
  5. Step 5: Solve for x
    x = 66,420,017,813.76/273,963.20
  6. Step 6: Final answer
    x = 242,441.39

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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.