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Finding the Fourth Proportional to 160,996.97, 241,504 and 48,674.32

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Solution

The fourth proportional to 160,996.97, 241,504 and 48,674.32 is: 73,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,996.97 : 241,504 = 48,674.32 : x
  2. Step 2: Convert to fraction form
    160,996.97/241,504 = 48,674.32/x
  3. Step 3: Cross multiply
    160,996.97x = 241,504 × 48,674.32
  4. Step 4: Simplify right side
    160,996.97x = 11,755,042,977.28
  5. Step 5: Solve for x
    x = 11,755,042,977.28/160,996.97
  6. Step 6: Final answer
    x = 73,014.06

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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.