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Finding the Fourth Proportional to 214,640.36, 296,188.87 and 119,139.54

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Solution

The fourth proportional to 214,640.36, 296,188.87 and 119,139.54 is: 164,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,640.36 : 296,188.87 = 119,139.54 : x
  2. Step 2: Convert to fraction form
    214,640.36/296,188.87 = 119,139.54/x
  3. Step 3: Cross multiply
    214,640.36x = 296,188.87 × 119,139.54
  4. Step 4: Simplify right side
    214,640.36x = 35,287,805,724.92
  5. Step 5: Solve for x
    x = 35,287,805,724.92/214,640.36
  6. Step 6: Final answer
    x = 164,404.34

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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.