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Finding the Fourth Proportional to 194,638.41, 268,576.97 and 114,047.46

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Solution

The fourth proportional to 194,638.41, 268,576.97 and 114,047.46 is: 157,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,638.41 : 268,576.97 = 114,047.46 : x
  2. Step 2: Convert to fraction form
    194,638.41/268,576.97 = 114,047.46/x
  3. Step 3: Cross multiply
    194,638.41x = 268,576.97 × 114,047.46
  4. Step 4: Simplify right side
    194,638.41x = 30,630,520,672.76
  5. Step 5: Solve for x
    x = 30,630,520,672.76/194,638.41
  6. Step 6: Final answer
    x = 157,371.41

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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.