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Finding the Fourth Proportional to 180,405.95, 270,603.32 and 85,704.27

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Solution

The fourth proportional to 180,405.95, 270,603.32 and 85,704.27 is: 128,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.95 : 270,603.32 = 85,704.27 : x
  2. Step 2: Convert to fraction form
    180,405.95/270,603.32 = 85,704.27/x
  3. Step 3: Cross multiply
    180,405.95x = 270,603.32 × 85,704.27
  4. Step 4: Simplify right side
    180,405.95x = 23,191,859,571.66
  5. Step 5: Solve for x
    x = 23,191,859,571.66/180,405.95
  6. Step 6: Final answer
    x = 128,553.74

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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.