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Finding the Fourth Proportional to 212,211.82, 292,847.88 and 116,716.96

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Solution

The fourth proportional to 212,211.82, 292,847.88 and 116,716.96 is: 161,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,211.82 : 292,847.88 = 116,716.96 : x
  2. Step 2: Convert to fraction form
    212,211.82/292,847.88 = 116,716.96/x
  3. Step 3: Cross multiply
    212,211.82x = 292,847.88 × 116,716.96
  4. Step 4: Simplify right side
    212,211.82x = 34,180,314,296.04
  5. Step 5: Solve for x
    x = 34,180,314,296.04/212,211.82
  6. Step 6: Final answer
    x = 161,066.97

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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.