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Finding the Fourth Proportional to 129,468.20, 194,639.70 and 110,222.60

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Solution

The fourth proportional to 129,468.20, 194,639.70 and 110,222.60 is: 165,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468.20 : 194,639.70 = 110,222.60 : x
  2. Step 2: Convert to fraction form
    129,468.20/194,639.70 = 110,222.60/x
  3. Step 3: Cross multiply
    129,468.20x = 194,639.70 × 110,222.60
  4. Step 4: Simplify right side
    129,468.20x = 21,453,693,797.22
  5. Step 5: Solve for x
    x = 21,453,693,797.22/129,468.20
  6. Step 6: Final answer
    x = 165,706.28

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