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Finding the Fourth Proportional to 284,033.02, 426,020.36 and 150,771.82

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Solution

The fourth proportional to 284,033.02, 426,020.36 and 150,771.82 is: 226,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,033.02 : 426,020.36 = 150,771.82 : x
  2. Step 2: Convert to fraction form
    284,033.02/426,020.36 = 150,771.82/x
  3. Step 3: Cross multiply
    284,033.02x = 426,020.36 × 150,771.82
  4. Step 4: Simplify right side
    284,033.02x = 64,231,862,904.15
  5. Step 5: Solve for x
    x = 64,231,862,904.15/284,033.02
  6. Step 6: Final answer
    x = 226,142.24

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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.