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Finding the Fourth Proportional to 106,817, 160,252.86 and 40,257.68

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Solution

The fourth proportional to 106,817, 160,252.86 and 40,257.68 is: 60,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817 : 160,252.86 = 40,257.68 : x
  2. Step 2: Convert to fraction form
    106,817/160,252.86 = 40,257.68/x
  3. Step 3: Cross multiply
    106,817x = 160,252.86 × 40,257.68
  4. Step 4: Simplify right side
    106,817x = 6,451,408,356.96
  5. Step 5: Solve for x
    x = 6,451,408,356.96/106,817
  6. Step 6: Final answer
    x = 60,396.83

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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.