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Finding the Fourth Proportional to 217,971.81, 326,916.54 and 68,189.58

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Solution

The fourth proportional to 217,971.81, 326,916.54 and 68,189.58 is: 102,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,971.81 : 326,916.54 = 68,189.58 : x
  2. Step 2: Convert to fraction form
    217,971.81/326,916.54 = 68,189.58/x
  3. Step 3: Cross multiply
    217,971.81x = 326,916.54 × 68,189.58
  4. Step 4: Simplify right side
    217,971.81x = 22,292,301,557.65
  5. Step 5: Solve for x
    x = 22,292,301,557.65/217,971.81
  6. Step 6: Final answer
    x = 102,271.49

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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.