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Finding the Fourth Proportional to 75,193.40, 103,766.56 and 41,201.84

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Solution

The fourth proportional to 75,193.40, 103,766.56 and 41,201.84 is: 56,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,193.40 : 103,766.56 = 41,201.84 : x
  2. Step 2: Convert to fraction form
    75,193.40/103,766.56 = 41,201.84/x
  3. Step 3: Cross multiply
    75,193.40x = 103,766.56 × 41,201.84
  4. Step 4: Simplify right side
    75,193.40x = 4,275,373,202.47
  5. Step 5: Solve for x
    x = 4,275,373,202.47/75,193.40
  6. Step 6: Final answer
    x = 56,858.36

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1.5x scale

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.