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Finding the Fourth Proportional to 106,304, 159,456 and 43,976

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Solution

The fourth proportional to 106,304, 159,456 and 43,976 is: 65,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,304 : 159,456 = 43,976 : x
  2. Step 2: Convert to fraction form
    106,304/159,456 = 43,976/x
  3. Step 3: Cross multiply
    106,304x = 159,456 × 43,976
  4. Step 4: Simplify right side
    106,304x = 7,012,237,056
  5. Step 5: Solve for x
    x = 7,012,237,056/106,304
  6. Step 6: Final answer
    x = 65,964

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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.