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Finding the Fourth Proportional to 267,646.80, 401,524.20 and 78,106.80

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Solution

The fourth proportional to 267,646.80, 401,524.20 and 78,106.80 is: 117,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,646.80 : 401,524.20 = 78,106.80 : x
  2. Step 2: Convert to fraction form
    267,646.80/401,524.20 = 78,106.80/x
  3. Step 3: Cross multiply
    267,646.80x = 401,524.20 × 78,106.80
  4. Step 4: Simplify right side
    267,646.80x = 31,361,770,384.56
  5. Step 5: Solve for x
    x = 31,361,770,384.56/267,646.80
  6. Step 6: Final answer
    x = 117,175.96

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Why These Related Problems?

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