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Finding the Fourth Proportional to 123,200.41, 184,812.29 and 34,453.90

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Solution

The fourth proportional to 123,200.41, 184,812.29 and 34,453.90 is: 51,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.41 : 184,812.29 = 34,453.90 : x
  2. Step 2: Convert to fraction form
    123,200.41/184,812.29 = 34,453.90/x
  3. Step 3: Cross multiply
    123,200.41x = 184,812.29 × 34,453.90
  4. Step 4: Simplify right side
    123,200.41x = 6,367,504,158.43
  5. Step 5: Solve for x
    x = 6,367,504,158.43/123,200.41
  6. Step 6: Final answer
    x = 51,684.11

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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.