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Finding the Fourth Proportional to 200,611.60, 301,034.04 and 82,367.80

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Solution

The fourth proportional to 200,611.60, 301,034.04 and 82,367.80 is: 123,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,611.60 : 301,034.04 = 82,367.80 : x
  2. Step 2: Convert to fraction form
    200,611.60/301,034.04 = 82,367.80/x
  3. Step 3: Cross multiply
    200,611.60x = 301,034.04 × 82,367.80
  4. Step 4: Simplify right side
    200,611.60x = 24,795,511,599.91
  5. Step 5: Solve for x
    x = 24,795,511,599.91/200,611.60
  6. Step 6: Final answer
    x = 123,599.59

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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.