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Finding the Fourth Proportional to 163,767.02, 225,974.21 and 92,142.77

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Solution

The fourth proportional to 163,767.02, 225,974.21 and 92,142.77 is: 127,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,767.02 : 225,974.21 = 92,142.77 : x
  2. Step 2: Convert to fraction form
    163,767.02/225,974.21 = 92,142.77/x
  3. Step 3: Cross multiply
    163,767.02x = 225,974.21 × 92,142.77
  4. Step 4: Simplify right side
    163,767.02x = 20,821,888,067.38
  5. Step 5: Solve for x
    x = 20,821,888,067.38/163,767.02
  6. Step 6: Final answer
    x = 127,143.36

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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.