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Finding the Fourth Proportional to 216,412.26, 298,650.42 and 120,922.98

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Solution

The fourth proportional to 216,412.26, 298,650.42 and 120,922.98 is: 166,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,412.26 : 298,650.42 = 120,922.98 : x
  2. Step 2: Convert to fraction form
    216,412.26/298,650.42 = 120,922.98/x
  3. Step 3: Cross multiply
    216,412.26x = 298,650.42 × 120,922.98
  4. Step 4: Simplify right side
    216,412.26x = 36,113,698,764.65
  5. Step 5: Solve for x
    x = 36,113,698,764.65/216,412.26
  6. Step 6: Final answer
    x = 166,874.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.