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Finding the Fourth Proportional to 129,367.57, 194,082.48 and 54,509.13

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Solution

The fourth proportional to 129,367.57, 194,082.48 and 54,509.13 is: 81,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,367.57 : 194,082.48 = 54,509.13 : x
  2. Step 2: Convert to fraction form
    129,367.57/194,082.48 = 54,509.13/x
  3. Step 3: Cross multiply
    129,367.57x = 194,082.48 × 54,509.13
  4. Step 4: Simplify right side
    129,367.57x = 10,579,267,133.04
  5. Step 5: Solve for x
    x = 10,579,267,133.04/129,367.57
  6. Step 6: Final answer
    x = 81,776.81

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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.