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Finding the Fourth Proportional to 120,805.45, 166,696.42 and 67,083.16

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Solution

The fourth proportional to 120,805.45, 166,696.42 and 67,083.16 is: 92,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.45 : 166,696.42 = 67,083.16 : x
  2. Step 2: Convert to fraction form
    120,805.45/166,696.42 = 67,083.16/x
  3. Step 3: Cross multiply
    120,805.45x = 166,696.42 × 67,083.16
  4. Step 4: Simplify right side
    120,805.45x = 11,182,522,614.29
  5. Step 5: Solve for x
    x = 11,182,522,614.29/120,805.45
  6. Step 6: Final answer
    x = 92,566.38

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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.