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Finding the Fourth Proportional to 118,206.38, 177,318.22 and 33,963.14

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Solution

The fourth proportional to 118,206.38, 177,318.22 and 33,963.14 is: 50,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,206.38 : 177,318.22 = 33,963.14 : x
  2. Step 2: Convert to fraction form
    118,206.38/177,318.22 = 33,963.14/x
  3. Step 3: Cross multiply
    118,206.38x = 177,318.22 × 33,963.14
  4. Step 4: Simplify right side
    118,206.38x = 6,022,283,530.41
  5. Step 5: Solve for x
    x = 6,022,283,530.41/118,206.38
  6. Step 6: Final answer
    x = 50,947.20

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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.