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Finding the Fourth Proportional to 129,451.69, 194,224.11 and 45,224.25

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Solution

The fourth proportional to 129,451.69, 194,224.11 and 45,224.25 is: 67,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,451.69 : 194,224.11 = 45,224.25 : x
  2. Step 2: Convert to fraction form
    129,451.69/194,224.11 = 45,224.25/x
  3. Step 3: Cross multiply
    129,451.69x = 194,224.11 × 45,224.25
  4. Step 4: Simplify right side
    129,451.69x = 8,783,638,735.55
  5. Step 5: Solve for x
    x = 8,783,638,735.55/129,451.69
  6. Step 6: Final answer
    x = 67,852.64

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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.