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Finding the Fourth Proportional to 224,442.75, 309,737.49 and 123,847.23

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Solution

The fourth proportional to 224,442.75, 309,737.49 and 123,847.23 is: 170,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,442.75 : 309,737.49 = 123,847.23 : x
  2. Step 2: Convert to fraction form
    224,442.75/309,737.49 = 123,847.23/x
  3. Step 3: Cross multiply
    224,442.75x = 309,737.49 × 123,847.23
  4. Step 4: Simplify right side
    224,442.75x = 38,360,130,163.65
  5. Step 5: Solve for x
    x = 38,360,130,163.65/224,442.75
  6. Step 6: Final answer
    x = 170,912.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.