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Finding the Fourth Proportional to 227,559.40, 341,727.90 and 149,021.80

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Solution

The fourth proportional to 227,559.40, 341,727.90 and 149,021.80 is: 223,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,559.40 : 341,727.90 = 149,021.80 : x
  2. Step 2: Convert to fraction form
    227,559.40/341,727.90 = 149,021.80/x
  3. Step 3: Cross multiply
    227,559.40x = 341,727.90 × 149,021.80
  4. Step 4: Simplify right side
    227,559.40x = 50,924,906,768.22
  5. Step 5: Solve for x
    x = 50,924,906,768.22/227,559.40
  6. Step 6: Final answer
    x = 223,787.31

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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.