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Finding the Fourth Proportional to 213,120.54, 294,104.39 and 116,323.43

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Solution

The fourth proportional to 213,120.54, 294,104.39 and 116,323.43 is: 160,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,120.54 : 294,104.39 = 116,323.43 : x
  2. Step 2: Convert to fraction form
    213,120.54/294,104.39 = 116,323.43/x
  3. Step 3: Cross multiply
    213,120.54x = 294,104.39 × 116,323.43
  4. Step 4: Simplify right side
    213,120.54x = 34,211,229,370.72
  5. Step 5: Solve for x
    x = 34,211,229,370.72/213,120.54
  6. Step 6: Final answer
    x = 160,525.26

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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.