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Finding the Fourth Proportional to 120,515.47, 166,103.65 and 80,157.07

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Solution

The fourth proportional to 120,515.47, 166,103.65 and 80,157.07 is: 110,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,515.47 : 166,103.65 = 80,157.07 : x
  2. Step 2: Convert to fraction form
    120,515.47/166,103.65 = 80,157.07/x
  3. Step 3: Cross multiply
    120,515.47x = 166,103.65 × 80,157.07
  4. Step 4: Simplify right side
    120,515.47x = 13,314,381,900.31
  5. Step 5: Solve for x
    x = 13,314,381,900.31/120,515.47
  6. Step 6: Final answer
    x = 110,478.61

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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.