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Finding the Fourth Proportional to 194,921.31, 268,991.51 and 105,497.31

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Solution

The fourth proportional to 194,921.31, 268,991.51 and 105,497.31 is: 145,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,921.31 : 268,991.51 = 105,497.31 : x
  2. Step 2: Convert to fraction form
    194,921.31/268,991.51 = 105,497.31/x
  3. Step 3: Cross multiply
    194,921.31x = 268,991.51 × 105,497.31
  4. Step 4: Simplify right side
    194,921.31x = 28,377,880,190.35
  5. Step 5: Solve for x
    x = 28,377,880,190.35/194,921.31
  6. Step 6: Final answer
    x = 145,586.34

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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.