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Finding the Fourth Proportional to 161,297.84, 241,995.94 and 82,467.42

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Solution

The fourth proportional to 161,297.84, 241,995.94 and 82,467.42 is: 123,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,297.84 : 241,995.94 = 82,467.42 : x
  2. Step 2: Convert to fraction form
    161,297.84/241,995.94 = 82,467.42/x
  3. Step 3: Cross multiply
    161,297.84x = 241,995.94 × 82,467.42
  4. Step 4: Simplify right side
    161,297.84x = 19,956,780,822.27
  5. Step 5: Solve for x
    x = 19,956,780,822.27/161,297.84
  6. Step 6: Final answer
    x = 123,726.27

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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.