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Finding the Fourth Proportional to 305,142.17, 421,121.15 and 169,218.75

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Solution

The fourth proportional to 305,142.17, 421,121.15 and 169,218.75 is: 233,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.17 : 421,121.15 = 169,218.75 : x
  2. Step 2: Convert to fraction form
    305,142.17/421,121.15 = 169,218.75/x
  3. Step 3: Cross multiply
    305,142.17x = 421,121.15 × 169,218.75
  4. Step 4: Simplify right side
    305,142.17x = 71,261,594,601.56
  5. Step 5: Solve for x
    x = 71,261,594,601.56/305,142.17
  6. Step 6: Final answer
    x = 233,535.71

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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.