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Finding the Fourth Proportional to 284,571.87, 426,874.51 and 107,080.42

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Solution

The fourth proportional to 284,571.87, 426,874.51 and 107,080.42 is: 160,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,571.87 : 426,874.51 = 107,080.42 : x
  2. Step 2: Convert to fraction form
    284,571.87/426,874.51 = 107,080.42/x
  3. Step 3: Cross multiply
    284,571.87x = 426,874.51 × 107,080.42
  4. Step 4: Simplify right side
    284,571.87x = 45,709,899,683.72
  5. Step 5: Solve for x
    x = 45,709,899,683.72/284,571.87
  6. Step 6: Final answer
    x = 160,626.91

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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.