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Finding the Fourth Proportional to 96,747.75, 144,949.75 and 82,563.84

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Solution

The fourth proportional to 96,747.75, 144,949.75 and 82,563.84 is: 123,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,747.75 : 144,949.75 = 82,563.84 : x
  2. Step 2: Convert to fraction form
    96,747.75/144,949.75 = 82,563.84/x
  3. Step 3: Cross multiply
    96,747.75x = 144,949.75 × 82,563.84
  4. Step 4: Simplify right side
    96,747.75x = 11,967,607,967.04
  5. Step 5: Solve for x
    x = 11,967,607,967.04/96,747.75
  6. Step 6: Final answer
    x = 123,699.08

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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.