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Finding the Fourth Proportional to 228,049.50, 341,929.34 and 200,025.83

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Solution

The fourth proportional to 228,049.50, 341,929.34 and 200,025.83 is: 299,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049.50 : 341,929.34 = 200,025.83 : x
  2. Step 2: Convert to fraction form
    228,049.50/341,929.34 = 200,025.83/x
  3. Step 3: Cross multiply
    228,049.50x = 341,929.34 × 200,025.83
  4. Step 4: Simplify right side
    228,049.50x = 68,394,697,325.08
  5. Step 5: Solve for x
    x = 68,394,697,325.08/228,049.50
  6. Step 6: Final answer
    x = 299,911.63

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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.