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Finding the Fourth Proportional to 120,410.14, 166,167.20 and 72,654.29

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Solution

The fourth proportional to 120,410.14, 166,167.20 and 72,654.29 is: 100,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.14 : 166,167.20 = 72,654.29 : x
  2. Step 2: Convert to fraction form
    120,410.14/166,167.20 = 72,654.29/x
  3. Step 3: Cross multiply
    120,410.14x = 166,167.20 × 72,654.29
  4. Step 4: Simplify right side
    120,410.14x = 12,072,759,937.29
  5. Step 5: Solve for x
    x = 12,072,759,937.29/120,410.14
  6. Step 6: Final answer
    x = 100,263.65

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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.