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Finding the Fourth Proportional to 262,850.56, 394,275.44 and 105,116

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Solution

The fourth proportional to 262,850.56, 394,275.44 and 105,116 is: 157,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,850.56 : 394,275.44 = 105,116 : x
  2. Step 2: Convert to fraction form
    262,850.56/394,275.44 = 105,116/x
  3. Step 3: Cross multiply
    262,850.56x = 394,275.44 × 105,116
  4. Step 4: Simplify right side
    262,850.56x = 41,444,657,151.04
  5. Step 5: Solve for x
    x = 41,444,657,151.04/262,850.56
  6. Step 6: Final answer
    x = 157,673.84

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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.