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Finding the Fourth Proportional to 284,112.96, 426,215.68 and 106,633.92

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Solution

The fourth proportional to 284,112.96, 426,215.68 and 106,633.92 is: 159,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,112.96 : 426,215.68 = 106,633.92 : x
  2. Step 2: Convert to fraction form
    284,112.96/426,215.68 = 106,633.92/x
  3. Step 3: Cross multiply
    284,112.96x = 426,215.68 × 106,633.92
  4. Step 4: Simplify right side
    284,112.96x = 45,449,048,723.87
  5. Step 5: Solve for x
    x = 45,449,048,723.87/284,112.96
  6. Step 6: Final answer
    x = 159,968.23

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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.