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Finding the Fourth Proportional to 138,608.10, 191,328.30 and 82,019.34

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Solution

The fourth proportional to 138,608.10, 191,328.30 and 82,019.34 is: 113,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,608.10 : 191,328.30 = 82,019.34 : x
  2. Step 2: Convert to fraction form
    138,608.10/191,328.30 = 82,019.34/x
  3. Step 3: Cross multiply
    138,608.10x = 191,328.30 × 82,019.34
  4. Step 4: Simplify right side
    138,608.10x = 15,692,620,889.32
  5. Step 5: Solve for x
    x = 15,692,620,889.32/138,608.10
  6. Step 6: Final answer
    x = 113,215.76

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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.