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Finding the Fourth Proportional to 199,273.61, 299,085.87 and 104,571.43

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Solution

The fourth proportional to 199,273.61, 299,085.87 and 104,571.43 is: 156,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,273.61 : 299,085.87 = 104,571.43 : x
  2. Step 2: Convert to fraction form
    199,273.61/299,085.87 = 104,571.43/x
  3. Step 3: Cross multiply
    199,273.61x = 299,085.87 × 104,571.43
  4. Step 4: Simplify right side
    199,273.61x = 31,275,837,118.69
  5. Step 5: Solve for x
    x = 31,275,837,118.69/199,273.61
  6. Step 6: Final answer
    x = 156,949.22

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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.