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Finding the Fourth Proportional to 199,208.88, 274,898.43 and 108,564.54

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Solution

The fourth proportional to 199,208.88, 274,898.43 and 108,564.54 is: 149,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,208.88 : 274,898.43 = 108,564.54 : x
  2. Step 2: Convert to fraction form
    199,208.88/274,898.43 = 108,564.54/x
  3. Step 3: Cross multiply
    199,208.88x = 274,898.43 × 108,564.54
  4. Step 4: Simplify right side
    199,208.88x = 29,844,221,599.67
  5. Step 5: Solve for x
    x = 29,844,221,599.67/199,208.88
  6. Step 6: Final answer
    x = 149,813.71

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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.