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Finding the Fourth Proportional to 262,446, 393,727.32 and 96,234

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Solution

The fourth proportional to 262,446, 393,727.32 and 96,234 is: 144,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446 : 393,727.32 = 96,234 : x
  2. Step 2: Convert to fraction form
    262,446/393,727.32 = 96,234/x
  3. Step 3: Cross multiply
    262,446x = 393,727.32 × 96,234
  4. Step 4: Simplify right side
    262,446x = 37,889,954,912.88
  5. Step 5: Solve for x
    x = 37,889,954,912.88/262,446
  6. Step 6: Final answer
    x = 144,372.38

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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.