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Finding the Fourth Proportional to 142,567, 196,794.30 and 82,951

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Solution

The fourth proportional to 142,567, 196,794.30 and 82,951 is: 114,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,567 : 196,794.30 = 82,951 : x
  2. Step 2: Convert to fraction form
    142,567/196,794.30 = 82,951/x
  3. Step 3: Cross multiply
    142,567x = 196,794.30 × 82,951
  4. Step 4: Simplify right side
    142,567x = 16,324,283,979.30
  5. Step 5: Solve for x
    x = 16,324,283,979.30/142,567
  6. Step 6: Final answer
    x = 114,502.54

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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.