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Finding the Fourth Proportional to 107,171.96, 160,758.52 and 27,209.98

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Solution

The fourth proportional to 107,171.96, 160,758.52 and 27,209.98 is: 40,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,171.96 : 160,758.52 = 27,209.98 : x
  2. Step 2: Convert to fraction form
    107,171.96/160,758.52 = 27,209.98/x
  3. Step 3: Cross multiply
    107,171.96x = 160,758.52 × 27,209.98
  4. Step 4: Simplify right side
    107,171.96x = 4,374,236,114.03
  5. Step 5: Solve for x
    x = 4,374,236,114.03/107,171.96
  6. Step 6: Final answer
    x = 40,815.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.