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Finding the Fourth Proportional to 199,104.64, 274,764.42 and 109,680.64

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Solution

The fourth proportional to 199,104.64, 274,764.42 and 109,680.64 is: 151,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,104.64 : 274,764.42 = 109,680.64 : x
  2. Step 2: Convert to fraction form
    199,104.64/274,764.42 = 109,680.64/x
  3. Step 3: Cross multiply
    199,104.64x = 274,764.42 × 109,680.64
  4. Step 4: Simplify right side
    199,104.64x = 30,136,337,434.83
  5. Step 5: Solve for x
    x = 30,136,337,434.83/199,104.64
  6. Step 6: Final answer
    x = 151,359.29

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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.