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Finding the Fourth Proportional to 227,056.40, 340,843.80 and 133,614.80

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Solution

The fourth proportional to 227,056.40, 340,843.80 and 133,614.80 is: 200,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,056.40 : 340,843.80 = 133,614.80 : x
  2. Step 2: Convert to fraction form
    227,056.40/340,843.80 = 133,614.80/x
  3. Step 3: Cross multiply
    227,056.40x = 340,843.80 × 133,614.80
  4. Step 4: Simplify right side
    227,056.40x = 45,541,776,168.24
  5. Step 5: Solve for x
    x = 45,541,776,168.24/227,056.40
  6. Step 6: Final answer
    x = 200,574.73

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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.