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Finding the Fourth Proportional to 101,768.34, 140,278.03 and 80,222.95

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Solution

The fourth proportional to 101,768.34, 140,278.03 and 80,222.95 is: 110,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768.34 : 140,278.03 = 80,222.95 : x
  2. Step 2: Convert to fraction form
    101,768.34/140,278.03 = 80,222.95/x
  3. Step 3: Cross multiply
    101,768.34x = 140,278.03 × 80,222.95
  4. Step 4: Simplify right side
    101,768.34x = 11,253,517,386.79
  5. Step 5: Solve for x
    x = 11,253,517,386.79/101,768.34
  6. Step 6: Final answer
    x = 110,579.75

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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.