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Finding the Fourth Proportional to 180,393.94, 270,684.30 and 130,882.70

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Solution

The fourth proportional to 180,393.94, 270,684.30 and 130,882.70 is: 196,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,393.94 : 270,684.30 = 130,882.70 : x
  2. Step 2: Convert to fraction form
    180,393.94/270,684.30 = 130,882.70/x
  3. Step 3: Cross multiply
    180,393.94x = 270,684.30 × 130,882.70
  4. Step 4: Simplify right side
    180,393.94x = 35,427,892,031.61
  5. Step 5: Solve for x
    x = 35,427,892,031.61/180,393.94
  6. Step 6: Final answer
    x = 196,391.81

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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.