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Finding the Fourth Proportional to 80,114.42, 120,293.94 and 67,795.94

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Solution

The fourth proportional to 80,114.42, 120,293.94 and 67,795.94 is: 101,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114.42 : 120,293.94 = 67,795.94 : x
  2. Step 2: Convert to fraction form
    80,114.42/120,293.94 = 67,795.94/x
  3. Step 3: Cross multiply
    80,114.42x = 120,293.94 × 67,795.94
  4. Step 4: Simplify right side
    80,114.42x = 8,155,440,738.60
  5. Step 5: Solve for x
    x = 8,155,440,738.60/80,114.42
  6. Step 6: Final answer
    x = 101,797.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.