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Finding the Fourth Proportional to 120,460.61, 166,233.19 and 66,745.46

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Solution

The fourth proportional to 120,460.61, 166,233.19 and 66,745.46 is: 92,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,460.61 : 166,233.19 = 66,745.46 : x
  2. Step 2: Convert to fraction form
    120,460.61/166,233.19 = 66,745.46/x
  3. Step 3: Cross multiply
    120,460.61x = 166,233.19 × 66,745.46
  4. Step 4: Simplify right side
    120,460.61x = 11,095,310,733.82
  5. Step 5: Solve for x
    x = 11,095,310,733.82/120,460.61
  6. Step 6: Final answer
    x = 92,107.38

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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.