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Finding the Fourth Proportional to 214,100.82, 295,447.50 and 118,601.82

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Solution

The fourth proportional to 214,100.82, 295,447.50 and 118,601.82 is: 163,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,100.82 : 295,447.50 = 118,601.82 : x
  2. Step 2: Convert to fraction form
    214,100.82/295,447.50 = 118,601.82/x
  3. Step 3: Cross multiply
    214,100.82x = 295,447.50 × 118,601.82
  4. Step 4: Simplify right side
    214,100.82x = 35,040,611,214.45
  5. Step 5: Solve for x
    x = 35,040,611,214.45/214,100.82
  6. Step 6: Final answer
    x = 163,664.07

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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.