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Finding the Fourth Proportional to 164,761.92, 227,236.08 and 101,054.88

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Solution

The fourth proportional to 164,761.92, 227,236.08 and 101,054.88 is: 139,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,761.92 : 227,236.08 = 101,054.88 : x
  2. Step 2: Convert to fraction form
    164,761.92/227,236.08 = 101,054.88/x
  3. Step 3: Cross multiply
    164,761.92x = 227,236.08 × 101,054.88
  4. Step 4: Simplify right side
    164,761.92x = 22,963,314,796.07
  5. Step 5: Solve for x
    x = 22,963,314,796.07/164,761.92
  6. Step 6: Final answer
    x = 139,372.71

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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.