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Finding the Fourth Proportional to 204,611, 306,916.50 and 56,867

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Solution

The fourth proportional to 204,611, 306,916.50 and 56,867 is: 85,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,611 : 306,916.50 = 56,867 : x
  2. Step 2: Convert to fraction form
    204,611/306,916.50 = 56,867/x
  3. Step 3: Cross multiply
    204,611x = 306,916.50 × 56,867
  4. Step 4: Simplify right side
    204,611x = 17,453,420,605.50
  5. Step 5: Solve for x
    x = 17,453,420,605.50/204,611
  6. Step 6: Final answer
    x = 85,300.50

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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.