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Finding the Fourth Proportional to 97,751.12, 146,375.36 and 67,722.60

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Solution

The fourth proportional to 97,751.12, 146,375.36 and 67,722.60 is: 101,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751.12 : 146,375.36 = 67,722.60 : x
  2. Step 2: Convert to fraction form
    97,751.12/146,375.36 = 67,722.60/x
  3. Step 3: Cross multiply
    97,751.12x = 146,375.36 × 67,722.60
  4. Step 4: Simplify right side
    97,751.12x = 9,912,919,616.52
  5. Step 5: Solve for x
    x = 9,912,919,616.52/97,751.12
  6. Step 6: Final answer
    x = 101,409.79

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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.