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Finding the Fourth Proportional to 305,212.44, 421,195.53 and 169,238.44

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Solution

The fourth proportional to 305,212.44, 421,195.53 and 169,238.44 is: 233,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,212.44 : 421,195.53 = 169,238.44 : x
  2. Step 2: Convert to fraction form
    305,212.44/421,195.53 = 169,238.44/x
  3. Step 3: Cross multiply
    305,212.44x = 421,195.53 × 169,238.44
  4. Step 4: Simplify right side
    305,212.44x = 71,282,474,432.17
  5. Step 5: Solve for x
    x = 71,282,474,432.17/305,212.44
  6. Step 6: Final answer
    x = 233,550.36

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