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Finding the Fourth Proportional to 284,360.73, 426,213.05 and 106,754.46

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Solution

The fourth proportional to 284,360.73, 426,213.05 and 106,754.46 is: 160,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,360.73 : 426,213.05 = 106,754.46 : x
  2. Step 2: Convert to fraction form
    284,360.73/426,213.05 = 106,754.46/x
  3. Step 3: Cross multiply
    284,360.73x = 426,213.05 × 106,754.46
  4. Step 4: Simplify right side
    284,360.73x = 45,500,143,463.93
  5. Step 5: Solve for x
    x = 45,500,143,463.93/284,360.73
  6. Step 6: Final answer
    x = 160,008.53

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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.