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Finding the Fourth Proportional to 105,963.12, 146,168.28 and 66,150

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Solution

The fourth proportional to 105,963.12, 146,168.28 and 66,150 is: 91,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,963.12 : 146,168.28 = 66,150 : x
  2. Step 2: Convert to fraction form
    105,963.12/146,168.28 = 66,150/x
  3. Step 3: Cross multiply
    105,963.12x = 146,168.28 × 66,150
  4. Step 4: Simplify right side
    105,963.12x = 9,669,031,722
  5. Step 5: Solve for x
    x = 9,669,031,722/105,963.12
  6. Step 6: Final answer
    x = 91,249.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.