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Finding the Fourth Proportional to 136,821.72, 188,764.11 and 80,222.16

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Solution

The fourth proportional to 136,821.72, 188,764.11 and 80,222.16 is: 110,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,821.72 : 188,764.11 = 80,222.16 : x
  2. Step 2: Convert to fraction form
    136,821.72/188,764.11 = 80,222.16/x
  3. Step 3: Cross multiply
    136,821.72x = 188,764.11 × 80,222.16
  4. Step 4: Simplify right side
    136,821.72x = 15,143,064,634.68
  5. Step 5: Solve for x
    x = 15,143,064,634.68/136,821.72
  6. Step 6: Final answer
    x = 110,677.34

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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.