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Finding the Fourth Proportional to 180,422.38, 270,584.22 and 100,361.70

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Solution

The fourth proportional to 180,422.38, 270,584.22 and 100,361.70 is: 150,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,422.38 : 270,584.22 = 100,361.70 : x
  2. Step 2: Convert to fraction form
    180,422.38/270,584.22 = 100,361.70/x
  3. Step 3: Cross multiply
    180,422.38x = 270,584.22 × 100,361.70
  4. Step 4: Simplify right side
    180,422.38x = 27,156,292,312.37
  5. Step 5: Solve for x
    x = 27,156,292,312.37/180,422.38
  6. Step 6: Final answer
    x = 150,515.10

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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.