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Finding the Fourth Proportional to 183,809.26, 275,769.26 and 65,465.20

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Solution

The fourth proportional to 183,809.26, 275,769.26 and 65,465.20 is: 98,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,809.26 : 275,769.26 = 65,465.20 : x
  2. Step 2: Convert to fraction form
    183,809.26/275,769.26 = 65,465.20/x
  3. Step 3: Cross multiply
    183,809.26x = 275,769.26 × 65,465.20
  4. Step 4: Simplify right side
    183,809.26x = 18,053,289,759.75
  5. Step 5: Solve for x
    x = 18,053,289,759.75/183,809.26
  6. Step 6: Final answer
    x = 98,217.52

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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.