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Finding the Fourth Proportional to 274,011.36, 411,250.32 and 107,916

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Solution

The fourth proportional to 274,011.36, 411,250.32 and 107,916 is: 161,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,011.36 : 411,250.32 = 107,916 : x
  2. Step 2: Convert to fraction form
    274,011.36/411,250.32 = 107,916/x
  3. Step 3: Cross multiply
    274,011.36x = 411,250.32 × 107,916
  4. Step 4: Simplify right side
    274,011.36x = 44,380,489,533.12
  5. Step 5: Solve for x
    x = 44,380,489,533.12/274,011.36
  6. Step 6: Final answer
    x = 161,965.87

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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.