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Finding the Fourth Proportional to 123,805.44, 185,706.30 and 30,311.19

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Solution

The fourth proportional to 123,805.44, 185,706.30 and 30,311.19 is: 45,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,805.44 : 185,706.30 = 30,311.19 : x
  2. Step 2: Convert to fraction form
    123,805.44/185,706.30 = 30,311.19/x
  3. Step 3: Cross multiply
    123,805.44x = 185,706.30 × 30,311.19
  4. Step 4: Simplify right side
    123,805.44x = 5,628,978,943.50
  5. Step 5: Solve for x
    x = 5,628,978,943.50/123,805.44
  6. Step 6: Final answer
    x = 45,466.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.