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Finding the Fourth Proportional to 213,311.31, 294,367.86 and 116,515.23

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Solution

The fourth proportional to 213,311.31, 294,367.86 and 116,515.23 is: 160,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311.31 : 294,367.86 = 116,515.23 : x
  2. Step 2: Convert to fraction form
    213,311.31/294,367.86 = 116,515.23/x
  3. Step 3: Cross multiply
    213,311.31x = 294,367.86 × 116,515.23
  4. Step 4: Simplify right side
    213,311.31x = 34,298,338,912.51
  5. Step 5: Solve for x
    x = 34,298,338,912.51/213,311.31
  6. Step 6: Final answer
    x = 160,790.06

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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.