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Finding the Fourth Proportional to 161,294.84, 241,991.44 and 82,464.42

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Solution

The fourth proportional to 161,294.84, 241,991.44 and 82,464.42 is: 123,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,294.84 : 241,991.44 = 82,464.42 : x
  2. Step 2: Convert to fraction form
    161,294.84/241,991.44 = 82,464.42/x
  3. Step 3: Cross multiply
    161,294.84x = 241,991.44 × 82,464.42
  4. Step 4: Simplify right side
    161,294.84x = 19,955,683,744.56
  5. Step 5: Solve for x
    x = 19,955,683,744.56/161,294.84
  6. Step 6: Final answer
    x = 123,721.77

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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.