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Finding the Fourth Proportional to 140,686.77, 194,166.23 and 80,243.56

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Solution

The fourth proportional to 140,686.77, 194,166.23 and 80,243.56 is: 110,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.77 : 194,166.23 = 80,243.56 : x
  2. Step 2: Convert to fraction form
    140,686.77/194,166.23 = 80,243.56/x
  3. Step 3: Cross multiply
    140,686.77x = 194,166.23 × 80,243.56
  4. Step 4: Simplify right side
    140,686.77x = 15,580,589,526.98
  5. Step 5: Solve for x
    x = 15,580,589,526.98/140,686.77
  6. Step 6: Final answer
    x = 110,746.66

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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.