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Finding the Fourth Proportional to 75,183.37, 112,463.38 and 57,278.55

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Solution

The fourth proportional to 75,183.37, 112,463.38 and 57,278.55 is: 85,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,183.37 : 112,463.38 = 57,278.55 : x
  2. Step 2: Convert to fraction form
    75,183.37/112,463.38 = 57,278.55/x
  3. Step 3: Cross multiply
    75,183.37x = 112,463.38 × 57,278.55
  4. Step 4: Simplify right side
    75,183.37x = 6,441,739,334.50
  5. Step 5: Solve for x
    x = 6,441,739,334.50/75,183.37
  6. Step 6: Final answer
    x = 85,680.37

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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.