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Finding the Fourth Proportional to 275,136.94, 412,350.13 and 123,223.02

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Solution

The fourth proportional to 275,136.94, 412,350.13 and 123,223.02 is: 184,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,136.94 : 412,350.13 = 123,223.02 : x
  2. Step 2: Convert to fraction form
    275,136.94/412,350.13 = 123,223.02/x
  3. Step 3: Cross multiply
    275,136.94x = 412,350.13 × 123,223.02
  4. Step 4: Simplify right side
    275,136.94x = 50,811,028,315.99
  5. Step 5: Solve for x
    x = 50,811,028,315.99/275,136.94
  6. Step 6: Final answer
    x = 184,675.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.