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Finding the Fourth Proportional to 217,634.14, 300,257.31 and 137,066.68

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Solution

The fourth proportional to 217,634.14, 300,257.31 and 137,066.68 is: 189,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,634.14 : 300,257.31 = 137,066.68 : x
  2. Step 2: Convert to fraction form
    217,634.14/300,257.31 = 137,066.68/x
  3. Step 3: Cross multiply
    217,634.14x = 300,257.31 × 137,066.68
  4. Step 4: Simplify right side
    217,634.14x = 41,155,272,627.43
  5. Step 5: Solve for x
    x = 41,155,272,627.43/217,634.14
  6. Step 6: Final answer
    x = 189,103.02

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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.