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Finding the Fourth Proportional to 188,225.44, 259,712.73 and 107,680.05

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Solution

The fourth proportional to 188,225.44, 259,712.73 and 107,680.05 is: 148,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,225.44 : 259,712.73 = 107,680.05 : x
  2. Step 2: Convert to fraction form
    188,225.44/259,712.73 = 107,680.05/x
  3. Step 3: Cross multiply
    188,225.44x = 259,712.73 × 107,680.05
  4. Step 4: Simplify right side
    188,225.44x = 27,965,879,752.04
  5. Step 5: Solve for x
    x = 27,965,879,752.04/188,225.44
  6. Step 6: Final answer
    x = 148,576.52

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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.