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Finding the Fourth Proportional to 217,810.39, 326,666.27 and 82,826.17

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Solution

The fourth proportional to 217,810.39, 326,666.27 and 82,826.17 is: 124,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,810.39 : 326,666.27 = 82,826.17 : x
  2. Step 2: Convert to fraction form
    217,810.39/326,666.27 = 82,826.17/x
  3. Step 3: Cross multiply
    217,810.39x = 326,666.27 × 82,826.17
  4. Step 4: Simplify right side
    217,810.39x = 27,056,515,855.54
  5. Step 5: Solve for x
    x = 27,056,515,855.54/217,810.39
  6. Step 6: Final answer
    x = 124,220.50

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Why These Related Problems?

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