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Finding the Fourth Proportional to 274,096.97, 410,869.46 and 114,261.41

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Solution

The fourth proportional to 274,096.97, 410,869.46 and 114,261.41 is: 171,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,096.97 : 410,869.46 = 114,261.41 : x
  2. Step 2: Convert to fraction form
    274,096.97/410,869.46 = 114,261.41/x
  3. Step 3: Cross multiply
    274,096.97x = 410,869.46 × 114,261.41
  4. Step 4: Simplify right side
    274,096.97x = 46,946,521,199.88
  5. Step 5: Solve for x
    x = 46,946,521,199.88/274,096.97
  6. Step 6: Final answer
    x = 171,277.06

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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.