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Finding the Fourth Proportional to 129,846.56, 194,694 and 63,202.40

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Solution

The fourth proportional to 129,846.56, 194,694 and 63,202.40 is: 94,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846.56 : 194,694 = 63,202.40 : x
  2. Step 2: Convert to fraction form
    129,846.56/194,694 = 63,202.40/x
  3. Step 3: Cross multiply
    129,846.56x = 194,694 × 63,202.40
  4. Step 4: Simplify right side
    129,846.56x = 12,305,128,065.60
  5. Step 5: Solve for x
    x = 12,305,128,065.60/129,846.56
  6. Step 6: Final answer
    x = 94,766.69

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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.