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Finding the Fourth Proportional to 143,145.36, 197,546.28 and 82,714

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Solution

The fourth proportional to 143,145.36, 197,546.28 and 82,714 is: 114,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,145.36 : 197,546.28 = 82,714 : x
  2. Step 2: Convert to fraction form
    143,145.36/197,546.28 = 82,714/x
  3. Step 3: Cross multiply
    143,145.36x = 197,546.28 × 82,714
  4. Step 4: Simplify right side
    143,145.36x = 16,339,843,003.92
  5. Step 5: Solve for x
    x = 16,339,843,003.92/143,145.36
  6. Step 6: Final answer
    x = 114,148.60

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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.