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Finding the Fourth Proportional to 227,771.60, 341,965.20 and 133,098.80

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Solution

The fourth proportional to 227,771.60, 341,965.20 and 133,098.80 is: 199,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,771.60 : 341,965.20 = 133,098.80 : x
  2. Step 2: Convert to fraction form
    227,771.60/341,965.20 = 133,098.80/x
  3. Step 3: Cross multiply
    227,771.60x = 341,965.20 × 133,098.80
  4. Step 4: Simplify right side
    227,771.60x = 45,515,157,761.76
  5. Step 5: Solve for x
    x = 45,515,157,761.76/227,771.60
  6. Step 6: Final answer
    x = 199,828.06

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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.