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Finding the Fourth Proportional to 214,039.53, 295,374.60 and 117,243.81

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Solution

The fourth proportional to 214,039.53, 295,374.60 and 117,243.81 is: 161,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,039.53 : 295,374.60 = 117,243.81 : x
  2. Step 2: Convert to fraction form
    214,039.53/295,374.60 = 117,243.81/x
  3. Step 3: Cross multiply
    214,039.53x = 295,374.60 × 117,243.81
  4. Step 4: Simplify right side
    214,039.53x = 34,630,843,481.23
  5. Step 5: Solve for x
    x = 34,630,843,481.23/214,039.53
  6. Step 6: Final answer
    x = 161,796.48

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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.