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Finding the Fourth Proportional to 115,806.31, 173,764.85 and 65,245.60

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Solution

The fourth proportional to 115,806.31, 173,764.85 and 65,245.60 is: 97,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806.31 : 173,764.85 = 65,245.60 : x
  2. Step 2: Convert to fraction form
    115,806.31/173,764.85 = 65,245.60/x
  3. Step 3: Cross multiply
    115,806.31x = 173,764.85 × 65,245.60
  4. Step 4: Simplify right side
    115,806.31x = 11,337,391,788.14
  5. Step 5: Solve for x
    x = 11,337,391,788.14/115,806.31
  6. Step 6: Final answer
    x = 97,899.61

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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.