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Finding the Fourth Proportional to 213,211.75, 294,232.14 and 122,585.44

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Solution

The fourth proportional to 213,211.75, 294,232.14 and 122,585.44 is: 169,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,211.75 : 294,232.14 = 122,585.44 : x
  2. Step 2: Convert to fraction form
    213,211.75/294,232.14 = 122,585.44/x
  3. Step 3: Cross multiply
    213,211.75x = 294,232.14 × 122,585.44
  4. Step 4: Simplify right side
    213,211.75x = 36,068,576,344.04
  5. Step 5: Solve for x
    x = 36,068,576,344.04/213,211.75
  6. Step 6: Final answer
    x = 169,167.86

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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.