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Finding the Fourth Proportional to 258,141, 356,080.14 and 162,481.62

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Solution

The fourth proportional to 258,141, 356,080.14 and 162,481.62 is: 224,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,141 : 356,080.14 = 162,481.62 : x
  2. Step 2: Convert to fraction form
    258,141/356,080.14 = 162,481.62/x
  3. Step 3: Cross multiply
    258,141x = 356,080.14 × 162,481.62
  4. Step 4: Simplify right side
    258,141x = 57,856,477,997.03
  5. Step 5: Solve for x
    x = 57,856,477,997.03/258,141
  6. Step 6: Final answer
    x = 224,127.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.