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Finding the Fourth Proportional to 199,223.78, 274,920.81 and 108,577.80

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Solution

The fourth proportional to 199,223.78, 274,920.81 and 108,577.80 is: 149,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,223.78 : 274,920.81 = 108,577.80 : x
  2. Step 2: Convert to fraction form
    199,223.78/274,920.81 = 108,577.80/x
  3. Step 3: Cross multiply
    199,223.78x = 274,920.81 × 108,577.80
  4. Step 4: Simplify right side
    199,223.78x = 29,850,296,724.02
  5. Step 5: Solve for x
    x = 29,850,296,724.02/199,223.78
  6. Step 6: Final answer
    x = 149,833.00

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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.