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Finding the Fourth Proportional to 182,998.77, 274,467.01 and 49,847.88

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Solution

The fourth proportional to 182,998.77, 274,467.01 and 49,847.88 is: 74,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,998.77 : 274,467.01 = 49,847.88 : x
  2. Step 2: Convert to fraction form
    182,998.77/274,467.01 = 49,847.88/x
  3. Step 3: Cross multiply
    182,998.77x = 274,467.01 × 49,847.88
  4. Step 4: Simplify right side
    182,998.77x = 13,681,598,578.44
  5. Step 5: Solve for x
    x = 13,681,598,578.44/182,998.77
  6. Step 6: Final answer
    x = 74,763.34

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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.