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Finding the Fourth Proportional to 106,360.20, 146,825.46 and 75,753

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Solution

The fourth proportional to 106,360.20, 146,825.46 and 75,753 is: 104,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360.20 : 146,825.46 = 75,753 : x
  2. Step 2: Convert to fraction form
    106,360.20/146,825.46 = 75,753/x
  3. Step 3: Cross multiply
    106,360.20x = 146,825.46 × 75,753
  4. Step 4: Simplify right side
    106,360.20x = 11,122,469,071.38
  5. Step 5: Solve for x
    x = 11,122,469,071.38/106,360.20
  6. Step 6: Final answer
    x = 104,573.60

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Why These Related Problems?

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