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Finding the Fourth Proportional to 144,022.20, 216,033.30 and 133,524.60

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Solution

The fourth proportional to 144,022.20, 216,033.30 and 133,524.60 is: 200,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.20 : 216,033.30 = 133,524.60 : x
  2. Step 2: Convert to fraction form
    144,022.20/216,033.30 = 133,524.60/x
  3. Step 3: Cross multiply
    144,022.20x = 216,033.30 × 133,524.60
  4. Step 4: Simplify right side
    144,022.20x = 28,845,759,969.18
  5. Step 5: Solve for x
    x = 28,845,759,969.18/144,022.20
  6. Step 6: Final answer
    x = 200,286.90

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