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Finding the Fourth Proportional to 233,051.44, 321,664.08 and 164,997.67

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Solution

The fourth proportional to 233,051.44, 321,664.08 and 164,997.67 is: 227,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,051.44 : 321,664.08 = 164,997.67 : x
  2. Step 2: Convert to fraction form
    233,051.44/321,664.08 = 164,997.67/x
  3. Step 3: Cross multiply
    233,051.44x = 321,664.08 × 164,997.67
  4. Step 4: Simplify right side
    233,051.44x = 53,073,823,722.69
  5. Step 5: Solve for x
    x = 53,073,823,722.69/233,051.44
  6. Step 6: Final answer
    x = 227,734.37

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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.