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Finding the Fourth Proportional to 164,409.48, 226,884.60 and 92,789.28

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Solution

The fourth proportional to 164,409.48, 226,884.60 and 92,789.28 is: 128,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,409.48 : 226,884.60 = 92,789.28 : x
  2. Step 2: Convert to fraction form
    164,409.48/226,884.60 = 92,789.28/x
  3. Step 3: Cross multiply
    164,409.48x = 226,884.60 × 92,789.28
  4. Step 4: Simplify right side
    164,409.48x = 21,052,458,677.09
  5. Step 5: Solve for x
    x = 21,052,458,677.09/164,409.48
  6. Step 6: Final answer
    x = 128,048.93

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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.