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Finding the Fourth Proportional to 188,099.89, 259,574.41 and 106,427.27

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Solution

The fourth proportional to 188,099.89, 259,574.41 and 106,427.27 is: 146,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,099.89 : 259,574.41 = 106,427.27 : x
  2. Step 2: Convert to fraction form
    188,099.89/259,574.41 = 106,427.27/x
  3. Step 3: Cross multiply
    188,099.89x = 259,574.41 × 106,427.27
  4. Step 4: Simplify right side
    188,099.89x = 27,625,795,818.16
  5. Step 5: Solve for x
    x = 27,625,795,818.16/188,099.89
  6. Step 6: Final answer
    x = 146,867.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.