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Finding the Fourth Proportional to 133,105.48, 199,541.57 and 50,057.80

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Solution

The fourth proportional to 133,105.48, 199,541.57 and 50,057.80 is: 75,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105.48 : 199,541.57 = 50,057.80 : x
  2. Step 2: Convert to fraction form
    133,105.48/199,541.57 = 50,057.80/x
  3. Step 3: Cross multiply
    133,105.48x = 199,541.57 × 50,057.80
  4. Step 4: Simplify right side
    133,105.48x = 9,988,611,442.18
  5. Step 5: Solve for x
    x = 9,988,611,442.18/133,105.48
  6. Step 6: Final answer
    x = 75,042.83

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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.