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Finding the Fourth Proportional to 140,964.96, 194,527.44 and 80,535.36

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Solution

The fourth proportional to 140,964.96, 194,527.44 and 80,535.36 is: 111,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,964.96 : 194,527.44 = 80,535.36 : x
  2. Step 2: Convert to fraction form
    140,964.96/194,527.44 = 80,535.36/x
  3. Step 3: Cross multiply
    140,964.96x = 194,527.44 × 80,535.36
  4. Step 4: Simplify right side
    140,964.96x = 15,666,337,410.28
  5. Step 5: Solve for x
    x = 15,666,337,410.28/140,964.96
  6. Step 6: Final answer
    x = 111,136.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.