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Finding the Fourth Proportional to 321,233.24, 481,763.50 and 96,543.50

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Solution

The fourth proportional to 321,233.24, 481,763.50 and 96,543.50 is: 144,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,233.24 : 481,763.50 = 96,543.50 : x
  2. Step 2: Convert to fraction form
    321,233.24/481,763.50 = 96,543.50/x
  3. Step 3: Cross multiply
    321,233.24x = 481,763.50 × 96,543.50
  4. Step 4: Simplify right side
    321,233.24x = 46,511,131,812.07
  5. Step 5: Solve for x
    x = 46,511,131,812.07/321,233.24
  6. Step 6: Final answer
    x = 144,789.29

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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.