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Finding the Fourth Proportional to 214,513.88, 296,029.22 and 119,020.36

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Solution

The fourth proportional to 214,513.88, 296,029.22 and 119,020.36 is: 164,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,513.88 : 296,029.22 = 119,020.36 : x
  2. Step 2: Convert to fraction form
    214,513.88/296,029.22 = 119,020.36/x
  3. Step 3: Cross multiply
    214,513.88x = 296,029.22 × 119,020.36
  4. Step 4: Simplify right side
    214,513.88x = 35,233,504,334.92
  5. Step 5: Solve for x
    x = 35,233,504,334.92/214,513.88
  6. Step 6: Final answer
    x = 164,248.13

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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.