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Finding the Fourth Proportional to 188,201.56, 259,684.65 and 106,529.40

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Solution

The fourth proportional to 188,201.56, 259,684.65 and 106,529.40 is: 146,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201.56 : 259,684.65 = 106,529.40 : x
  2. Step 2: Convert to fraction form
    188,201.56/259,684.65 = 106,529.40/x
  3. Step 3: Cross multiply
    188,201.56x = 259,684.65 × 106,529.40
  4. Step 4: Simplify right side
    188,201.56x = 27,664,049,953.71
  5. Step 5: Solve for x
    x = 27,664,049,953.71/188,201.56
  6. Step 6: Final answer
    x = 146,991.61

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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.