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Finding the Fourth Proportional to 164,506.56, 227,023.20 and 100,879.44

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Solution

The fourth proportional to 164,506.56, 227,023.20 and 100,879.44 is: 139,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.56 : 227,023.20 = 100,879.44 : x
  2. Step 2: Convert to fraction form
    164,506.56/227,023.20 = 100,879.44/x
  3. Step 3: Cross multiply
    164,506.56x = 227,023.20 × 100,879.44
  4. Step 4: Simplify right side
    164,506.56x = 22,901,973,283.01
  5. Step 5: Solve for x
    x = 22,901,973,283.01/164,506.56
  6. Step 6: Final answer
    x = 139,216.17

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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.