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Finding the Fourth Proportional to 262,749.84, 394,146.48 and 112,993.68

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Solution

The fourth proportional to 262,749.84, 394,146.48 and 112,993.68 is: 169,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,749.84 : 394,146.48 = 112,993.68 : x
  2. Step 2: Convert to fraction form
    262,749.84/394,146.48 = 112,993.68/x
  3. Step 3: Cross multiply
    262,749.84x = 394,146.48 × 112,993.68
  4. Step 4: Simplify right side
    262,749.84x = 44,536,061,234.25
  5. Step 5: Solve for x
    x = 44,536,061,234.25/262,749.84
  6. Step 6: Final answer
    x = 169,499.86

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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.