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Finding the Fourth Proportional to 164,476.75, 226,965.24 and 92,863.84

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Solution

The fourth proportional to 164,476.75, 226,965.24 and 92,863.84 is: 128,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476.75 : 226,965.24 = 92,863.84 : x
  2. Step 2: Convert to fraction form
    164,476.75/226,965.24 = 92,863.84/x
  3. Step 3: Cross multiply
    164,476.75x = 226,965.24 × 92,863.84
  4. Step 4: Simplify right side
    164,476.75x = 21,076,862,133.78
  5. Step 5: Solve for x
    x = 21,076,862,133.78/164,476.75
  6. Step 6: Final answer
    x = 128,144.94

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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.