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Finding the Fourth Proportional to 217,509.17, 326,382.67 and 84,394.68

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Solution

The fourth proportional to 217,509.17, 326,382.67 and 84,394.68 is: 126,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,509.17 : 326,382.67 = 84,394.68 : x
  2. Step 2: Convert to fraction form
    217,509.17/326,382.67 = 84,394.68/x
  3. Step 3: Cross multiply
    217,509.17x = 326,382.67 × 84,394.68
  4. Step 4: Simplify right side
    217,509.17x = 27,544,960,992.20
  5. Step 5: Solve for x
    x = 27,544,960,992.20/217,509.17
  6. Step 6: Final answer
    x = 126,638.16

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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.