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Finding the Fourth Proportional to 214,968.82, 296,654.82 and 119,473.60

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Solution

The fourth proportional to 214,968.82, 296,654.82 and 119,473.60 is: 164,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,968.82 : 296,654.82 = 119,473.60 : x
  2. Step 2: Convert to fraction form
    214,968.82/296,654.82 = 119,473.60/x
  3. Step 3: Cross multiply
    214,968.82x = 296,654.82 × 119,473.60
  4. Step 4: Simplify right side
    214,968.82x = 35,442,419,302.75
  5. Step 5: Solve for x
    x = 35,442,419,302.75/214,968.82
  6. Step 6: Final answer
    x = 164,872.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.