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Finding the Fourth Proportional to 122,895.54, 184,343.21 and 34,149

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Solution

The fourth proportional to 122,895.54, 184,343.21 and 34,149 is: 51,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895.54 : 184,343.21 = 34,149 : x
  2. Step 2: Convert to fraction form
    122,895.54/184,343.21 = 34,149/x
  3. Step 3: Cross multiply
    122,895.54x = 184,343.21 × 34,149
  4. Step 4: Simplify right side
    122,895.54x = 6,295,136,107.55
  5. Step 5: Solve for x
    x = 6,295,136,107.55/122,895.54
  6. Step 6: Final answer
    x = 51,223.47

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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.