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Finding the Fourth Proportional to 274,673.63, 412,276.75 and 132,619.10

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Solution

The fourth proportional to 274,673.63, 412,276.75 and 132,619.10 is: 199,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,673.63 : 412,276.75 = 132,619.10 : x
  2. Step 2: Convert to fraction form
    274,673.63/412,276.75 = 132,619.10/x
  3. Step 3: Cross multiply
    274,673.63x = 412,276.75 × 132,619.10
  4. Step 4: Simplify right side
    274,673.63x = 54,675,769,142.99
  5. Step 5: Solve for x
    x = 54,675,769,142.99/274,673.63
  6. Step 6: Final answer
    x = 199,057.22

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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.