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Finding the Fourth Proportional to 262,812.06, 394,245.57 and 120,633.06

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Solution

The fourth proportional to 262,812.06, 394,245.57 and 120,633.06 is: 180,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,812.06 : 394,245.57 = 120,633.06 : x
  2. Step 2: Convert to fraction form
    262,812.06/394,245.57 = 120,633.06/x
  3. Step 3: Cross multiply
    262,812.06x = 394,245.57 × 120,633.06
  4. Step 4: Simplify right side
    262,812.06x = 47,559,049,500.54
  5. Step 5: Solve for x
    x = 47,559,049,500.54/262,812.06
  6. Step 6: Final answer
    x = 180,962.20

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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.