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Finding the Fourth Proportional to 164,469.56, 226,972.14 and 100,842.44

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Solution

The fourth proportional to 164,469.56, 226,972.14 and 100,842.44 is: 139,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469.56 : 226,972.14 = 100,842.44 : x
  2. Step 2: Convert to fraction form
    164,469.56/226,972.14 = 100,842.44/x
  3. Step 3: Cross multiply
    164,469.56x = 226,972.14 × 100,842.44
  4. Step 4: Simplify right side
    164,469.56x = 22,888,424,409.62
  5. Step 5: Solve for x
    x = 22,888,424,409.62/164,469.56
  6. Step 6: Final answer
    x = 139,165.11

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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.