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Finding the Fourth Proportional to 275,991.37, 413,852.11 and 113,855.22

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Solution

The fourth proportional to 275,991.37, 413,852.11 and 113,855.22 is: 170,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,991.37 : 413,852.11 = 113,855.22 : x
  2. Step 2: Convert to fraction form
    275,991.37/413,852.11 = 113,855.22/x
  3. Step 3: Cross multiply
    275,991.37x = 413,852.11 × 113,855.22
  4. Step 4: Simplify right side
    275,991.37x = 47,119,222,746.88
  5. Step 5: Solve for x
    x = 47,119,222,746.88/275,991.37
  6. Step 6: Final answer
    x = 170,727.16

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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.