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Finding the Fourth Proportional to 140,758.44, 194,241.42 and 77,096.76

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Solution

The fourth proportional to 140,758.44, 194,241.42 and 77,096.76 is: 106,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,758.44 : 194,241.42 = 77,096.76 : x
  2. Step 2: Convert to fraction form
    140,758.44/194,241.42 = 77,096.76/x
  3. Step 3: Cross multiply
    140,758.44x = 194,241.42 × 77,096.76
  4. Step 4: Simplify right side
    140,758.44x = 14,975,384,139.80
  5. Step 5: Solve for x
    x = 14,975,384,139.80/140,758.44
  6. Step 6: Final answer
    x = 106,390.67

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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.