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Finding the Fourth Proportional to 214,508.68, 296,023.12 and 119,015.37

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Solution

The fourth proportional to 214,508.68, 296,023.12 and 119,015.37 is: 164,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,508.68 : 296,023.12 = 119,015.37 : x
  2. Step 2: Convert to fraction form
    214,508.68/296,023.12 = 119,015.37/x
  3. Step 3: Cross multiply
    214,508.68x = 296,023.12 × 119,015.37
  4. Step 4: Simplify right side
    214,508.68x = 35,231,300,857.82
  5. Step 5: Solve for x
    x = 35,231,300,857.82/214,508.68
  6. Step 6: Final answer
    x = 164,241.84

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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.