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Finding the Fourth Proportional to 120,524.60, 166,328.26 and 72,768.68

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Solution

The fourth proportional to 120,524.60, 166,328.26 and 72,768.68 is: 100,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.60 : 166,328.26 = 72,768.68 : x
  2. Step 2: Convert to fraction form
    120,524.60/166,328.26 = 72,768.68/x
  3. Step 3: Cross multiply
    120,524.60x = 166,328.26 × 72,768.68
  4. Step 4: Simplify right side
    120,524.60x = 12,103,487,926.90
  5. Step 5: Solve for x
    x = 12,103,487,926.90/120,524.60
  6. Step 6: Final answer
    x = 100,423.38

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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.