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Finding the Fourth Proportional to 214,690.67, 296,259.41 and 119,197.34

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Solution

The fourth proportional to 214,690.67, 296,259.41 and 119,197.34 is: 164,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690.67 : 296,259.41 = 119,197.34 : x
  2. Step 2: Convert to fraction form
    214,690.67/296,259.41 = 119,197.34/x
  3. Step 3: Cross multiply
    214,690.67x = 296,259.41 × 119,197.34
  4. Step 4: Simplify right side
    214,690.67x = 35,313,331,544.69
  5. Step 5: Solve for x
    x = 35,313,331,544.69/214,690.67
  6. Step 6: Final answer
    x = 164,484.71

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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.