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Finding the Fourth Proportional to 216,414.26, 298,653.18 and 120,924.98

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Solution

The fourth proportional to 216,414.26, 298,653.18 and 120,924.98 is: 166,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,414.26 : 298,653.18 = 120,924.98 : x
  2. Step 2: Convert to fraction form
    216,414.26/298,653.18 = 120,924.98/x
  3. Step 3: Cross multiply
    216,414.26x = 298,653.18 × 120,924.98
  4. Step 4: Simplify right side
    216,414.26x = 36,114,629,818.44
  5. Step 5: Solve for x
    x = 36,114,629,818.44/216,414.26
  6. Step 6: Final answer
    x = 166,877.31

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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.