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Finding the Fourth Proportional to 96,912.52, 145,220.39 and 65,205.12

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Solution

The fourth proportional to 96,912.52, 145,220.39 and 65,205.12 is: 97,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912.52 : 145,220.39 = 65,205.12 : x
  2. Step 2: Convert to fraction form
    96,912.52/145,220.39 = 65,205.12/x
  3. Step 3: Cross multiply
    96,912.52x = 145,220.39 × 65,205.12
  4. Step 4: Simplify right side
    96,912.52x = 9,469,112,956.40
  5. Step 5: Solve for x
    x = 9,469,112,956.40/96,912.52
  6. Step 6: Final answer
    x = 97,707.84

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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.