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Finding the Fourth Proportional to 212,162.64, 292,791.96 and 116,676.60

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Solution

The fourth proportional to 212,162.64, 292,791.96 and 116,676.60 is: 161,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,162.64 : 292,791.96 = 116,676.60 : x
  2. Step 2: Convert to fraction form
    212,162.64/292,791.96 = 116,676.60/x
  3. Step 3: Cross multiply
    212,162.64x = 292,791.96 × 116,676.60
  4. Step 4: Simplify right side
    212,162.64x = 34,161,970,400.14
  5. Step 5: Solve for x
    x = 34,161,970,400.14/212,162.64
  6. Step 6: Final answer
    x = 161,017.84

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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.