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Finding the Fourth Proportional to 143,824.73, 215,768.24 and 55,078.24

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Solution

The fourth proportional to 143,824.73, 215,768.24 and 55,078.24 is: 82,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,824.73 : 215,768.24 = 55,078.24 : x
  2. Step 2: Convert to fraction form
    143,824.73/215,768.24 = 55,078.24/x
  3. Step 3: Cross multiply
    143,824.73x = 215,768.24 × 55,078.24
  4. Step 4: Simplify right side
    143,824.73x = 11,884,134,907.10
  5. Step 5: Solve for x
    x = 11,884,134,907.10/143,824.73
  6. Step 6: Final answer
    x = 82,629.29

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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.