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Finding the Fourth Proportional to 228,049.75, 341,929.71 and 200,026.07

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Solution

The fourth proportional to 228,049.75, 341,929.71 and 200,026.07 is: 299,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049.75 : 341,929.71 = 200,026.07 : x
  2. Step 2: Convert to fraction form
    228,049.75/341,929.71 = 200,026.07/x
  3. Step 3: Cross multiply
    228,049.75x = 341,929.71 × 200,026.07
  4. Step 4: Simplify right side
    228,049.75x = 68,394,856,107.54
  5. Step 5: Solve for x
    x = 68,394,856,107.54/228,049.75
  6. Step 6: Final answer
    x = 299,912.00

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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.