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Finding the Fourth Proportional to 106,273.16, 159,202.36 and 82,789.64

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Solution

The fourth proportional to 106,273.16, 159,202.36 and 82,789.64 is: 124,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,273.16 : 159,202.36 = 82,789.64 : x
  2. Step 2: Convert to fraction form
    106,273.16/159,202.36 = 82,789.64/x
  3. Step 3: Cross multiply
    106,273.16x = 159,202.36 × 82,789.64
  4. Step 4: Simplify right side
    106,273.16x = 13,180,306,071.55
  5. Step 5: Solve for x
    x = 13,180,306,071.55/106,273.16
  6. Step 6: Final answer
    x = 124,022.91

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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.