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Finding the Fourth Proportional to 115,826.40, 173,795 and 65,265.76

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Solution

The fourth proportional to 115,826.40, 173,795 and 65,265.76 is: 97,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,826.40 : 173,795 = 65,265.76 : x
  2. Step 2: Convert to fraction form
    115,826.40/173,795 = 65,265.76/x
  3. Step 3: Cross multiply
    115,826.40x = 173,795 × 65,265.76
  4. Step 4: Simplify right side
    115,826.40x = 11,342,862,759.20
  5. Step 5: Solve for x
    x = 11,342,862,759.20/115,826.40
  6. Step 6: Final answer
    x = 97,929.86

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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.