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Finding the Fourth Proportional to 262,857.56, 394,566.90 and 113,171.96

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Solution

The fourth proportional to 262,857.56, 394,566.90 and 113,171.96 is: 169,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.56 : 394,566.90 = 113,171.96 : x
  2. Step 2: Convert to fraction form
    262,857.56/394,566.90 = 113,171.96/x
  3. Step 3: Cross multiply
    262,857.56x = 394,566.90 × 113,171.96
  4. Step 4: Simplify right side
    262,857.56x = 44,653,909,424.12
  5. Step 5: Solve for x
    x = 44,653,909,424.12/262,857.56
  6. Step 6: Final answer
    x = 169,878.73

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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.