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Finding the Fourth Proportional to 217,365, 326,076.66 and 92,735.16

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Solution

The fourth proportional to 217,365, 326,076.66 and 92,735.16 is: 139,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,365 : 326,076.66 = 92,735.16 : x
  2. Step 2: Convert to fraction form
    217,365/326,076.66 = 92,735.16/x
  3. Step 3: Cross multiply
    217,365x = 326,076.66 × 92,735.16
  4. Step 4: Simplify right side
    217,365x = 30,238,771,237.37
  5. Step 5: Solve for x
    x = 30,238,771,237.37/217,365
  6. Step 6: Final answer
    x = 139,115.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.