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Finding the Fourth Proportional to 217,509.62, 326,383.35 and 84,395.13

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Solution

The fourth proportional to 217,509.62, 326,383.35 and 84,395.13 is: 126,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,509.62 : 326,383.35 = 84,395.13 : x
  2. Step 2: Convert to fraction form
    217,509.62/326,383.35 = 84,395.13/x
  3. Step 3: Cross multiply
    217,509.62x = 326,383.35 × 84,395.13
  4. Step 4: Simplify right side
    217,509.62x = 27,545,165,253.09
  5. Step 5: Solve for x
    x = 27,545,165,253.09/217,509.62
  6. Step 6: Final answer
    x = 126,638.84

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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.