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Finding the Fourth Proportional to 203,940.27, 305,916.44 and 97,335.46

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Solution

The fourth proportional to 203,940.27, 305,916.44 and 97,335.46 is: 146,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940.27 : 305,916.44 = 97,335.46 : x
  2. Step 2: Convert to fraction form
    203,940.27/305,916.44 = 97,335.46/x
  3. Step 3: Cross multiply
    203,940.27x = 305,916.44 × 97,335.46
  4. Step 4: Simplify right side
    203,940.27x = 29,776,517,304.68
  5. Step 5: Solve for x
    x = 29,776,517,304.68/203,940.27
  6. Step 6: Final answer
    x = 146,006.07

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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.