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Finding the Fourth Proportional to 199,189.78, 274,878.47 and 108,546.52

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Solution

The fourth proportional to 199,189.78, 274,878.47 and 108,546.52 is: 149,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,189.78 : 274,878.47 = 108,546.52 : x
  2. Step 2: Convert to fraction form
    199,189.78/274,878.47 = 108,546.52/x
  3. Step 3: Cross multiply
    199,189.78x = 274,878.47 × 108,546.52
  4. Step 4: Simplify right side
    199,189.78x = 29,837,102,299.99
  5. Step 5: Solve for x
    x = 29,837,102,299.99/199,189.78
  6. Step 6: Final answer
    x = 149,792.34

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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.