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Finding the Fourth Proportional to 227,009.92, 340,816.44 and 193,942.48

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Solution

The fourth proportional to 227,009.92, 340,816.44 and 193,942.48 is: 291,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,009.92 : 340,816.44 = 193,942.48 : x
  2. Step 2: Convert to fraction form
    227,009.92/340,816.44 = 193,942.48/x
  3. Step 3: Cross multiply
    227,009.92x = 340,816.44 × 193,942.48
  4. Step 4: Simplify right side
    227,009.92x = 66,098,785,598.37
  5. Step 5: Solve for x
    x = 66,098,785,598.37/227,009.92
  6. Step 6: Final answer
    x = 291,171.35

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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.