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Finding the Fourth Proportional to 180,234.75, 270,367.50 and 47,114.79

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Solution

The fourth proportional to 180,234.75, 270,367.50 and 47,114.79 is: 70,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,234.75 : 270,367.50 = 47,114.79 : x
  2. Step 2: Convert to fraction form
    180,234.75/270,367.50 = 47,114.79/x
  3. Step 3: Cross multiply
    180,234.75x = 270,367.50 × 47,114.79
  4. Step 4: Simplify right side
    180,234.75x = 12,738,307,511.00
  5. Step 5: Solve for x
    x = 12,738,307,511.00/180,234.75
  6. Step 6: Final answer
    x = 70,676.20

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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.