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Finding the Fourth Proportional to 262,154, 393,232.44 and 65,162

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Solution

The fourth proportional to 262,154, 393,232.44 and 65,162 is: 97,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,154 : 393,232.44 = 65,162 : x
  2. Step 2: Convert to fraction form
    262,154/393,232.44 = 65,162/x
  3. Step 3: Cross multiply
    262,154x = 393,232.44 × 65,162
  4. Step 4: Simplify right side
    262,154x = 25,623,812,255.28
  5. Step 5: Solve for x
    x = 25,623,812,255.28/262,154
  6. Step 6: Final answer
    x = 97,743.36

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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.