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Finding the Fourth Proportional to 133,454.97, 200,053.83 and 49,169.04

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Solution

The fourth proportional to 133,454.97, 200,053.83 and 49,169.04 is: 73,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,454.97 : 200,053.83 = 49,169.04 : x
  2. Step 2: Convert to fraction form
    133,454.97/200,053.83 = 49,169.04/x
  3. Step 3: Cross multiply
    133,454.97x = 200,053.83 × 49,169.04
  4. Step 4: Simplify right side
    133,454.97x = 9,836,454,769.42
  5. Step 5: Solve for x
    x = 9,836,454,769.42/133,454.97
  6. Step 6: Final answer
    x = 73,706.17

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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.