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Finding the Fourth Proportional to 213,941.90, 295,244.34 and 117,149.82

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Solution

The fourth proportional to 213,941.90, 295,244.34 and 117,149.82 is: 161,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,941.90 : 295,244.34 = 117,149.82 : x
  2. Step 2: Convert to fraction form
    213,941.90/295,244.34 = 117,149.82/x
  3. Step 3: Cross multiply
    213,941.90x = 295,244.34 × 117,149.82
  4. Step 4: Simplify right side
    213,941.90x = 34,587,821,287.02
  5. Step 5: Solve for x
    x = 34,587,821,287.02/213,941.90
  6. Step 6: Final answer
    x = 161,669.23

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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.