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Finding the Fourth Proportional to 120,409.14, 166,165.82 and 72,653.29

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Solution

The fourth proportional to 120,409.14, 166,165.82 and 72,653.29 is: 100,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,409.14 : 166,165.82 = 72,653.29 : x
  2. Step 2: Convert to fraction form
    120,409.14/166,165.82 = 72,653.29/x
  3. Step 3: Cross multiply
    120,409.14x = 166,165.82 × 72,653.29
  4. Step 4: Simplify right side
    120,409.14x = 12,072,493,508.55
  5. Step 5: Solve for x
    x = 12,072,493,508.55/120,409.14
  6. Step 6: Final answer
    x = 100,262.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.