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Finding the Fourth Proportional to 214,634.97, 296,174.93 and 119,131.44

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Solution

The fourth proportional to 214,634.97, 296,174.93 and 119,131.44 is: 164,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,634.97 : 296,174.93 = 119,131.44 : x
  2. Step 2: Convert to fraction form
    214,634.97/296,174.93 = 119,131.44/x
  3. Step 3: Cross multiply
    214,634.97x = 296,174.93 × 119,131.44
  4. Step 4: Simplify right side
    214,634.97x = 35,283,745,307.14
  5. Step 5: Solve for x
    x = 35,283,745,307.14/214,634.97
  6. Step 6: Final answer
    x = 164,389.55

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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.