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Finding the Fourth Proportional to 227,993.80, 342,007.90 and 68,057.12

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Solution

The fourth proportional to 227,993.80, 342,007.90 and 68,057.12 is: 102,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,993.80 : 342,007.90 = 68,057.12 : x
  2. Step 2: Convert to fraction form
    227,993.80/342,007.90 = 68,057.12/x
  3. Step 3: Cross multiply
    227,993.80x = 342,007.90 × 68,057.12
  4. Step 4: Simplify right side
    227,993.80x = 23,276,072,691.25
  5. Step 5: Solve for x
    x = 23,276,072,691.25/227,993.80
  6. Step 6: Final answer
    x = 102,090.81

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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.