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Finding the Fourth Proportional to 284,146.56, 425,863.44 and 150,697.44

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Solution

The fourth proportional to 284,146.56, 425,863.44 and 150,697.44 is: 225,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146.56 : 425,863.44 = 150,697.44 : x
  2. Step 2: Convert to fraction form
    284,146.56/425,863.44 = 150,697.44/x
  3. Step 3: Cross multiply
    284,146.56x = 425,863.44 × 150,697.44
  4. Step 4: Simplify right side
    284,146.56x = 64,176,530,197.59
  5. Step 5: Solve for x
    x = 64,176,530,197.59/284,146.56
  6. Step 6: Final answer
    x = 225,857.14

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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.