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Finding the Fourth Proportional to 123,145.94, 184,738.35 and 40,020.50

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Solution

The fourth proportional to 123,145.94, 184,738.35 and 40,020.50 is: 60,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145.94 : 184,738.35 = 40,020.50 : x
  2. Step 2: Convert to fraction form
    123,145.94/184,738.35 = 40,020.50/x
  3. Step 3: Cross multiply
    123,145.94x = 184,738.35 × 40,020.50
  4. Step 4: Simplify right side
    123,145.94x = 7,393,321,136.18
  5. Step 5: Solve for x
    x = 7,393,321,136.18/123,145.94
  6. Step 6: Final answer
    x = 60,037.07

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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.