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Finding the Fourth Proportional to 213,193.26, 294,220.89 and 141,449.94

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Solution

The fourth proportional to 213,193.26, 294,220.89 and 141,449.94 is: 195,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,193.26 : 294,220.89 = 141,449.94 : x
  2. Step 2: Convert to fraction form
    213,193.26/294,220.89 = 141,449.94/x
  3. Step 3: Cross multiply
    213,193.26x = 294,220.89 × 141,449.94
  4. Step 4: Simplify right side
    213,193.26x = 41,617,527,237.25
  5. Step 5: Solve for x
    x = 41,617,527,237.25/213,193.26
  6. Step 6: Final answer
    x = 195,210.33

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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.