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Finding the Fourth Proportional to 213,644.90, 294,821.04 and 116,847.20

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Solution

The fourth proportional to 213,644.90, 294,821.04 and 116,847.20 is: 161,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,644.90 : 294,821.04 = 116,847.20 : x
  2. Step 2: Convert to fraction form
    213,644.90/294,821.04 = 116,847.20/x
  3. Step 3: Cross multiply
    213,644.90x = 294,821.04 × 116,847.20
  4. Step 4: Simplify right side
    213,644.90x = 34,449,013,025.09
  5. Step 5: Solve for x
    x = 34,449,013,025.09/213,644.90
  6. Step 6: Final answer
    x = 161,244.26

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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.