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Finding the Fourth Proportional to 133,448.56, 200,141.39 and 49,162.95

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Solution

The fourth proportional to 133,448.56, 200,141.39 and 49,162.95 is: 73,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,448.56 : 200,141.39 = 49,162.95 : x
  2. Step 2: Convert to fraction form
    133,448.56/200,141.39 = 49,162.95/x
  3. Step 3: Cross multiply
    133,448.56x = 200,141.39 × 49,162.95
  4. Step 4: Simplify right side
    133,448.56x = 9,839,541,149.50
  5. Step 5: Solve for x
    x = 9,839,541,149.50/133,448.56
  6. Step 6: Final answer
    x = 73,732.84

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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.