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Finding the Fourth Proportional to 68,185.60, 102,294.90 and 23,206.50

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Solution

The fourth proportional to 68,185.60, 102,294.90 and 23,206.50 is: 34,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,185.60 : 102,294.90 = 23,206.50 : x
  2. Step 2: Convert to fraction form
    68,185.60/102,294.90 = 23,206.50/x
  3. Step 3: Cross multiply
    68,185.60x = 102,294.90 × 23,206.50
  4. Step 4: Simplify right side
    68,185.60x = 2,373,906,596.85
  5. Step 5: Solve for x
    x = 2,373,906,596.85/68,185.60
  6. Step 6: Final answer
    x = 34,815.37

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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.