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Finding the Fourth Proportional to 164,611.46, 246,891.90 and 52,277.11

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Solution

The fourth proportional to 164,611.46, 246,891.90 and 52,277.11 is: 78,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,611.46 : 246,891.90 = 52,277.11 : x
  2. Step 2: Convert to fraction form
    164,611.46/246,891.90 = 52,277.11/x
  3. Step 3: Cross multiply
    164,611.46x = 246,891.90 × 52,277.11
  4. Step 4: Simplify right side
    164,611.46x = 12,906,795,014.41
  5. Step 5: Solve for x
    x = 12,906,795,014.41/164,611.46
  6. Step 6: Final answer
    x = 78,407.63

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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.