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Finding the Fourth Proportional to 208,466.40, 312,766.56 and 68,193.12

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Solution

The fourth proportional to 208,466.40, 312,766.56 and 68,193.12 is: 102,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,466.40 : 312,766.56 = 68,193.12 : x
  2. Step 2: Convert to fraction form
    208,466.40/312,766.56 = 68,193.12/x
  3. Step 3: Cross multiply
    208,466.40x = 312,766.56 × 68,193.12
  4. Step 4: Simplify right side
    208,466.40x = 21,328,527,558.07
  5. Step 5: Solve for x
    x = 21,328,527,558.07/208,466.40
  6. Step 6: Final answer
    x = 102,311.58

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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.