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Finding the Fourth Proportional to 129,677.70, 194,438.70 and 50,697.84

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Solution

The fourth proportional to 129,677.70, 194,438.70 and 50,697.84 is: 76,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,677.70 : 194,438.70 = 50,697.84 : x
  2. Step 2: Convert to fraction form
    129,677.70/194,438.70 = 50,697.84/x
  3. Step 3: Cross multiply
    129,677.70x = 194,438.70 × 50,697.84
  4. Step 4: Simplify right side
    129,677.70x = 9,857,622,102.41
  5. Step 5: Solve for x
    x = 9,857,622,102.41/129,677.70
  6. Step 6: Final answer
    x = 76,016.32

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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.