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Finding the Fourth Proportional to 217,107.47, 325,692.59 and 82,134.94

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Solution

The fourth proportional to 217,107.47, 325,692.59 and 82,134.94 is: 123,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,107.47 : 325,692.59 = 82,134.94 : x
  2. Step 2: Convert to fraction form
    217,107.47/325,692.59 = 82,134.94/x
  3. Step 3: Cross multiply
    217,107.47x = 325,692.59 × 82,134.94
  4. Step 4: Simplify right side
    217,107.47x = 26,750,740,927.42
  5. Step 5: Solve for x
    x = 26,750,740,927.42/217,107.47
  6. Step 6: Final answer
    x = 123,214.28

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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.