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Finding the Fourth Proportional to 213,702.12, 320,626.92 and 80,620.50

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Solution

The fourth proportional to 213,702.12, 320,626.92 and 80,620.50 is: 120,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,702.12 : 320,626.92 = 80,620.50 : x
  2. Step 2: Convert to fraction form
    213,702.12/320,626.92 = 80,620.50/x
  3. Step 3: Cross multiply
    213,702.12x = 320,626.92 × 80,620.50
  4. Step 4: Simplify right side
    213,702.12x = 25,849,102,603.86
  5. Step 5: Solve for x
    x = 25,849,102,603.86/213,702.12
  6. Step 6: Final answer
    x = 120,958.57

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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.