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Finding the Fourth Proportional to 227,059.40, 340,848.30 and 133,617.80

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Solution

The fourth proportional to 227,059.40, 340,848.30 and 133,617.80 is: 200,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,059.40 : 340,848.30 = 133,617.80 : x
  2. Step 2: Convert to fraction form
    227,059.40/340,848.30 = 133,617.80/x
  3. Step 3: Cross multiply
    227,059.40x = 340,848.30 × 133,617.80
  4. Step 4: Simplify right side
    227,059.40x = 45,543,399,979.74
  5. Step 5: Solve for x
    x = 45,543,399,979.74/227,059.40
  6. Step 6: Final answer
    x = 200,579.23

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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.