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Finding the Fourth Proportional to 193,294.92, 266,747.94 and 108,416.52

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Solution

The fourth proportional to 193,294.92, 266,747.94 and 108,416.52 is: 149,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,294.92 : 266,747.94 = 108,416.52 : x
  2. Step 2: Convert to fraction form
    193,294.92/266,747.94 = 108,416.52/x
  3. Step 3: Cross multiply
    193,294.92x = 266,747.94 × 108,416.52
  4. Step 4: Simplify right side
    193,294.92x = 28,919,883,371.97
  5. Step 5: Solve for x
    x = 28,919,883,371.97/193,294.92
  6. Step 6: Final answer
    x = 149,615.33

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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.