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Finding the Fourth Proportional to 188,202.21, 281,712.82 and 99,185.84

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Solution

The fourth proportional to 188,202.21, 281,712.82 and 99,185.84 is: 148,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,202.21 : 281,712.82 = 99,185.84 : x
  2. Step 2: Convert to fraction form
    188,202.21/281,712.82 = 99,185.84/x
  3. Step 3: Cross multiply
    188,202.21x = 281,712.82 × 99,185.84
  4. Step 4: Simplify right side
    188,202.21x = 27,941,922,690.47
  5. Step 5: Solve for x
    x = 27,941,922,690.47/188,202.21
  6. Step 6: Final answer
    x = 148,467.56

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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.