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Finding the Fourth Proportional to 281,407.26, 388,344.49 and 166,692.43

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Solution

The fourth proportional to 281,407.26, 388,344.49 and 166,692.43 is: 230,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,407.26 : 388,344.49 = 166,692.43 : x
  2. Step 2: Convert to fraction form
    281,407.26/388,344.49 = 166,692.43/x
  3. Step 3: Cross multiply
    281,407.26x = 388,344.49 × 166,692.43
  4. Step 4: Simplify right side
    281,407.26x = 64,734,085,327.62
  5. Step 5: Solve for x
    x = 64,734,085,327.62/281,407.26
  6. Step 6: Final answer
    x = 230,037.01

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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.