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Finding the Fourth Proportional to 142,606, 196,848.12 and 82,990

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Solution

The fourth proportional to 142,606, 196,848.12 and 82,990 is: 114,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606 : 196,848.12 = 82,990 : x
  2. Step 2: Convert to fraction form
    142,606/196,848.12 = 82,990/x
  3. Step 3: Cross multiply
    142,606x = 196,848.12 × 82,990
  4. Step 4: Simplify right side
    142,606x = 16,336,425,478.80
  5. Step 5: Solve for x
    x = 16,336,425,478.80/142,606
  6. Step 6: Final answer
    x = 114,556.37

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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.