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Finding the Fourth Proportional to 199,696.64, 275,571.09 and 109,035.14

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Solution

The fourth proportional to 199,696.64, 275,571.09 and 109,035.14 is: 150,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,696.64 : 275,571.09 = 109,035.14 : x
  2. Step 2: Convert to fraction form
    199,696.64/275,571.09 = 109,035.14/x
  3. Step 3: Cross multiply
    199,696.64x = 275,571.09 × 109,035.14
  4. Step 4: Simplify right side
    199,696.64x = 30,046,931,000.25
  5. Step 5: Solve for x
    x = 30,046,931,000.25/199,696.64
  6. Step 6: Final answer
    x = 150,462.88

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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.