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Finding the Fourth Proportional to 85,193.94, 127,593.96 and 82,241.49

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Solution

The fourth proportional to 85,193.94, 127,593.96 and 82,241.49 is: 123,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,193.94 : 127,593.96 = 82,241.49 : x
  2. Step 2: Convert to fraction form
    85,193.94/127,593.96 = 82,241.49/x
  3. Step 3: Cross multiply
    85,193.94x = 127,593.96 × 82,241.49
  4. Step 4: Simplify right side
    85,193.94x = 10,493,517,385.40
  5. Step 5: Solve for x
    x = 10,493,517,385.40/85,193.94
  6. Step 6: Final answer
    x = 123,172.11

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1.5x scale

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.