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Finding the Fourth Proportional to 190,147.99, 284,811.93 and 178,969.04

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Solution

The fourth proportional to 190,147.99, 284,811.93 and 178,969.04 is: 268,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,147.99 : 284,811.93 = 178,969.04 : x
  2. Step 2: Convert to fraction form
    190,147.99/284,811.93 = 178,969.04/x
  3. Step 3: Cross multiply
    190,147.99x = 284,811.93 × 178,969.04
  4. Step 4: Simplify right side
    190,147.99x = 50,972,517,692.65
  5. Step 5: Solve for x
    x = 50,972,517,692.65/190,147.99
  6. Step 6: Final answer
    x = 268,067.61

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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.