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Finding the Fourth Proportional to 204,906.90, 307,032.30 and 129,892.80

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Solution

The fourth proportional to 204,906.90, 307,032.30 and 129,892.80 is: 194,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.90 : 307,032.30 = 129,892.80 : x
  2. Step 2: Convert to fraction form
    204,906.90/307,032.30 = 129,892.80/x
  3. Step 3: Cross multiply
    204,906.90x = 307,032.30 × 129,892.80
  4. Step 4: Simplify right side
    204,906.90x = 39,881,285,137.44
  5. Step 5: Solve for x
    x = 39,881,285,137.44/204,906.90
  6. Step 6: Final answer
    x = 194,631.25

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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.