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Finding the Fourth Proportional to 140,686.49, 194,165.84 and 80,243.27

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Solution

The fourth proportional to 140,686.49, 194,165.84 and 80,243.27 is: 110,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.49 : 194,165.84 = 80,243.27 : x
  2. Step 2: Convert to fraction form
    140,686.49/194,165.84 = 80,243.27/x
  3. Step 3: Cross multiply
    140,686.49x = 194,165.84 × 80,243.27
  4. Step 4: Simplify right side
    140,686.49x = 15,580,501,923.90
  5. Step 5: Solve for x
    x = 15,580,501,923.90/140,686.49
  6. Step 6: Final answer
    x = 110,746.26

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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.