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Finding the Fourth Proportional to 199,104.89, 274,764.62 and 109,680.89

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Solution

The fourth proportional to 199,104.89, 274,764.62 and 109,680.89 is: 151,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,104.89 : 274,764.62 = 109,680.89 : x
  2. Step 2: Convert to fraction form
    199,104.89/274,764.62 = 109,680.89/x
  3. Step 3: Cross multiply
    199,104.89x = 274,764.62 × 109,680.89
  4. Step 4: Simplify right side
    199,104.89x = 30,136,426,962.49
  5. Step 5: Solve for x
    x = 30,136,426,962.49/199,104.89
  6. Step 6: Final answer
    x = 151,359.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.