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Finding the Fourth Proportional to 227,461.50, 313,795.44 and 131,912.82

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Solution

The fourth proportional to 227,461.50, 313,795.44 and 131,912.82 is: 181,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,461.50 : 313,795.44 = 131,912.82 : x
  2. Step 2: Convert to fraction form
    227,461.50/313,795.44 = 131,912.82/x
  3. Step 3: Cross multiply
    227,461.50x = 313,795.44 × 131,912.82
  4. Step 4: Simplify right side
    227,461.50x = 41,393,641,393.54
  5. Step 5: Solve for x
    x = 41,393,641,393.54/227,461.50
  6. Step 6: Final answer
    x = 181,980.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.