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Finding the Fourth Proportional to 329,425.40, 494,138.10 and 80,107.40

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Solution

The fourth proportional to 329,425.40, 494,138.10 and 80,107.40 is: 120,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,425.40 : 494,138.10 = 80,107.40 : x
  2. Step 2: Convert to fraction form
    329,425.40/494,138.10 = 80,107.40/x
  3. Step 3: Cross multiply
    329,425.40x = 494,138.10 × 80,107.40
  4. Step 4: Simplify right side
    329,425.40x = 39,584,118,431.94
  5. Step 5: Solve for x
    x = 39,584,118,431.94/329,425.40
  6. Step 6: Final answer
    x = 120,161.10

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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.