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Finding the Fourth Proportional to 129,414.69, 194,168.74 and 45,187.26

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Solution

The fourth proportional to 129,414.69, 194,168.74 and 45,187.26 is: 67,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,414.69 : 194,168.74 = 45,187.26 : x
  2. Step 2: Convert to fraction form
    129,414.69/194,168.74 = 45,187.26/x
  3. Step 3: Cross multiply
    129,414.69x = 194,168.74 × 45,187.26
  4. Step 4: Simplify right side
    129,414.69x = 8,773,953,338.25
  5. Step 5: Solve for x
    x = 8,773,953,338.25/129,414.69
  6. Step 6: Final answer
    x = 67,797.20

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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.