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Finding the Fourth Proportional to 122,087.70, 182,912.85 and 75,285.90

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Solution

The fourth proportional to 122,087.70, 182,912.85 and 75,285.90 is: 112,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,087.70 : 182,912.85 = 75,285.90 : x
  2. Step 2: Convert to fraction form
    122,087.70/182,912.85 = 75,285.90/x
  3. Step 3: Cross multiply
    122,087.70x = 182,912.85 × 75,285.90
  4. Step 4: Simplify right side
    122,087.70x = 13,770,758,533.82
  5. Step 5: Solve for x
    x = 13,770,758,533.82/122,087.70
  6. Step 6: Final answer
    x = 112,793.99

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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.