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Finding the Fourth Proportional to 120,990.84, 166,967.82 and 83,199.48

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Solution

The fourth proportional to 120,990.84, 166,967.82 and 83,199.48 is: 114,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,990.84 : 166,967.82 = 83,199.48 : x
  2. Step 2: Convert to fraction form
    120,990.84/166,967.82 = 83,199.48/x
  3. Step 3: Cross multiply
    120,990.84x = 166,967.82 × 83,199.48
  4. Step 4: Simplify right side
    120,990.84x = 13,891,635,800.73
  5. Step 5: Solve for x
    x = 13,891,635,800.73/120,990.84
  6. Step 6: Final answer
    x = 114,815.60

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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.