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Finding the Fourth Proportional to 129,969.26, 194,914.20 and 55,088

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Solution

The fourth proportional to 129,969.26, 194,914.20 and 55,088 is: 82,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.26 : 194,914.20 = 55,088 : x
  2. Step 2: Convert to fraction form
    129,969.26/194,914.20 = 55,088/x
  3. Step 3: Cross multiply
    129,969.26x = 194,914.20 × 55,088
  4. Step 4: Simplify right side
    129,969.26x = 10,737,433,449.60
  5. Step 5: Solve for x
    x = 10,737,433,449.60/129,969.26
  6. Step 6: Final answer
    x = 82,615.18

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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.