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Finding the Fourth Proportional to 193,638.86, 290,571.98 and 81,310.44

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Solution

The fourth proportional to 193,638.86, 290,571.98 and 81,310.44 is: 122,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,638.86 : 290,571.98 = 81,310.44 : x
  2. Step 2: Convert to fraction form
    193,638.86/290,571.98 = 81,310.44/x
  3. Step 3: Cross multiply
    193,638.86x = 290,571.98 × 81,310.44
  4. Step 4: Simplify right side
    193,638.86x = 23,626,535,545.47
  5. Step 5: Solve for x
    x = 23,626,535,545.47/193,638.86
  6. Step 6: Final answer
    x = 122,013.40

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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.