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Finding the Fourth Proportional to 160,409.97, 221,415.11 and 92,472.38

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Solution

The fourth proportional to 160,409.97, 221,415.11 and 92,472.38 is: 127,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.97 : 221,415.11 = 92,472.38 : x
  2. Step 2: Convert to fraction form
    160,409.97/221,415.11 = 92,472.38/x
  3. Step 3: Cross multiply
    160,409.97x = 221,415.11 × 92,472.38
  4. Step 4: Simplify right side
    160,409.97x = 20,474,781,727.30
  5. Step 5: Solve for x
    x = 20,474,781,727.30/160,409.97
  6. Step 6: Final answer
    x = 127,640.34

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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.