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Finding the Fourth Proportional to 103,168.14, 154,745.84 and 36,599.50

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Solution

The fourth proportional to 103,168.14, 154,745.84 and 36,599.50 is: 54,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,168.14 : 154,745.84 = 36,599.50 : x
  2. Step 2: Convert to fraction form
    103,168.14/154,745.84 = 36,599.50/x
  3. Step 3: Cross multiply
    103,168.14x = 154,745.84 × 36,599.50
  4. Step 4: Simplify right side
    103,168.14x = 5,663,620,371.08
  5. Step 5: Solve for x
    x = 5,663,620,371.08/103,168.14
  6. Step 6: Final answer
    x = 54,896.99

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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.