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Finding the Fourth Proportional to 120,794.50, 181,217.67 and 46,922.50

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Solution

The fourth proportional to 120,794.50, 181,217.67 and 46,922.50 is: 70,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,794.50 : 181,217.67 = 46,922.50 : x
  2. Step 2: Convert to fraction form
    120,794.50/181,217.67 = 46,922.50/x
  3. Step 3: Cross multiply
    120,794.50x = 181,217.67 × 46,922.50
  4. Step 4: Simplify right side
    120,794.50x = 8,503,186,120.58
  5. Step 5: Solve for x
    x = 8,503,186,120.58/120,794.50
  6. Step 6: Final answer
    x = 70,393.82

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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.