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Finding the Fourth Proportional to 262,186, 393,280.44 and 65,194

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Solution

The fourth proportional to 262,186, 393,280.44 and 65,194 is: 97,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,186 : 393,280.44 = 65,194 : x
  2. Step 2: Convert to fraction form
    262,186/393,280.44 = 65,194/x
  3. Step 3: Cross multiply
    262,186x = 393,280.44 × 65,194
  4. Step 4: Simplify right side
    262,186x = 25,639,525,005.36
  5. Step 5: Solve for x
    x = 25,639,525,005.36/262,186
  6. Step 6: Final answer
    x = 97,791.36

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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.