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Finding the Fourth Proportional to 161,296.84, 241,994.46 and 82,466.41

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Solution

The fourth proportional to 161,296.84, 241,994.46 and 82,466.41 is: 123,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,296.84 : 241,994.46 = 82,466.41 : x
  2. Step 2: Convert to fraction form
    161,296.84/241,994.46 = 82,466.41/x
  3. Step 3: Cross multiply
    161,296.84x = 241,994.46 × 82,466.41
  4. Step 4: Simplify right side
    161,296.84x = 19,956,414,356.09
  5. Step 5: Solve for x
    x = 19,956,414,356.09/161,296.84
  6. Step 6: Final answer
    x = 123,724.77

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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.