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Finding the Fourth Proportional to 272,847.44, 409,268.28 and 106,634

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Solution

The fourth proportional to 272,847.44, 409,268.28 and 106,634 is: 159,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847.44 : 409,268.28 = 106,634 : x
  2. Step 2: Convert to fraction form
    272,847.44/409,268.28 = 106,634/x
  3. Step 3: Cross multiply
    272,847.44x = 409,268.28 × 106,634
  4. Step 4: Simplify right side
    272,847.44x = 43,641,913,769.52
  5. Step 5: Solve for x
    x = 43,641,913,769.52/272,847.44
  6. Step 6: Final answer
    x = 159,949.87

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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.