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Finding the Fourth Proportional to 120,904.56, 166,672.44 and 84,492.96

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Solution

The fourth proportional to 120,904.56, 166,672.44 and 84,492.96 is: 116,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,904.56 : 166,672.44 = 84,492.96 : x
  2. Step 2: Convert to fraction form
    120,904.56/166,672.44 = 84,492.96/x
  3. Step 3: Cross multiply
    120,904.56x = 166,672.44 × 84,492.96
  4. Step 4: Simplify right side
    120,904.56x = 14,082,647,806.02
  5. Step 5: Solve for x
    x = 14,082,647,806.02/120,904.56
  6. Step 6: Final answer
    x = 116,477.39

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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.