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Finding the Fourth Proportional to 199,906.80, 299,860.20 and 106,594.80

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Solution

The fourth proportional to 199,906.80, 299,860.20 and 106,594.80 is: 159,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906.80 : 299,860.20 = 106,594.80 : x
  2. Step 2: Convert to fraction form
    199,906.80/299,860.20 = 106,594.80/x
  3. Step 3: Cross multiply
    199,906.80x = 299,860.20 × 106,594.80
  4. Step 4: Simplify right side
    199,906.80x = 31,963,538,046.96
  5. Step 5: Solve for x
    x = 31,963,538,046.96/199,906.80
  6. Step 6: Final answer
    x = 159,892.20

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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.