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Finding the Fourth Proportional to 254,809.44, 382,212.96 and 65,269.44

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Solution

The fourth proportional to 254,809.44, 382,212.96 and 65,269.44 is: 97,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,809.44 : 382,212.96 = 65,269.44 : x
  2. Step 2: Convert to fraction form
    254,809.44/382,212.96 = 65,269.44/x
  3. Step 3: Cross multiply
    254,809.44x = 382,212.96 × 65,269.44
  4. Step 4: Simplify right side
    254,809.44x = 24,946,825,859.94
  5. Step 5: Solve for x
    x = 24,946,825,859.94/254,809.44
  6. Step 6: Final answer
    x = 97,903.85

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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.