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Finding the Fourth Proportional to 189,846.96, 262,028.76 and 157,984.56

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Solution

The fourth proportional to 189,846.96, 262,028.76 and 157,984.56 is: 218,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,846.96 : 262,028.76 = 157,984.56 : x
  2. Step 2: Convert to fraction form
    189,846.96/262,028.76 = 157,984.56/x
  3. Step 3: Cross multiply
    189,846.96x = 262,028.76 × 157,984.56
  4. Step 4: Simplify right side
    189,846.96x = 41,396,498,355.95
  5. Step 5: Solve for x
    x = 41,396,498,355.95/189,846.96
  6. Step 6: Final answer
    x = 218,051.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.