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Finding the Fourth Proportional to 142,576, 196,806.72 and 82,960

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Solution

The fourth proportional to 142,576, 196,806.72 and 82,960 is: 114,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576 : 196,806.72 = 82,960 : x
  2. Step 2: Convert to fraction form
    142,576/196,806.72 = 82,960/x
  3. Step 3: Cross multiply
    142,576x = 196,806.72 × 82,960
  4. Step 4: Simplify right side
    142,576x = 16,327,085,491.20
  5. Step 5: Solve for x
    x = 16,327,085,491.20/142,576
  6. Step 6: Final answer
    x = 114,514.96

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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.