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Finding the Fourth Proportional to 193,224.72, 289,633.50 and 104,454.12

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Solution

The fourth proportional to 193,224.72, 289,633.50 and 104,454.12 is: 156,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,224.72 : 289,633.50 = 104,454.12 : x
  2. Step 2: Convert to fraction form
    193,224.72/289,633.50 = 104,454.12/x
  3. Step 3: Cross multiply
    193,224.72x = 289,633.50 × 104,454.12
  4. Step 4: Simplify right side
    193,224.72x = 30,253,412,365.02
  5. Step 5: Solve for x
    x = 30,253,412,365.02/193,224.72
  6. Step 6: Final answer
    x = 156,571.13

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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.