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Finding the Fourth Proportional to 193,543.28, 290,240.28 and 75,199.04

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Solution

The fourth proportional to 193,543.28, 290,240.28 and 75,199.04 is: 112,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,543.28 : 290,240.28 = 75,199.04 : x
  2. Step 2: Convert to fraction form
    193,543.28/290,240.28 = 75,199.04/x
  3. Step 3: Cross multiply
    193,543.28x = 290,240.28 × 75,199.04
  4. Step 4: Simplify right side
    193,543.28x = 21,825,790,425.33
  5. Step 5: Solve for x
    x = 21,825,790,425.33/193,543.28
  6. Step 6: Final answer
    x = 112,769.56

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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.