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Finding the Fourth Proportional to 164,342.28, 226,799.16 and 92,722.02

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Solution

The fourth proportional to 164,342.28, 226,799.16 and 92,722.02 is: 127,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,342.28 : 226,799.16 = 92,722.02 : x
  2. Step 2: Convert to fraction form
    164,342.28/226,799.16 = 92,722.02/x
  3. Step 3: Cross multiply
    164,342.28x = 226,799.16 × 92,722.02
  4. Step 4: Simplify right side
    164,342.28x = 21,029,276,249.50
  5. Step 5: Solve for x
    x = 21,029,276,249.50/164,342.28
  6. Step 6: Final answer
    x = 127,960.23

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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.