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Finding the Fourth Proportional to 274,857.64, 412,298.88 and 75,173.56

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Solution

The fourth proportional to 274,857.64, 412,298.88 and 75,173.56 is: 112,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.64 : 412,298.88 = 75,173.56 : x
  2. Step 2: Convert to fraction form
    274,857.64/412,298.88 = 75,173.56/x
  3. Step 3: Cross multiply
    274,857.64x = 412,298.88 × 75,173.56
  4. Step 4: Simplify right side
    274,857.64x = 30,993,974,593.61
  5. Step 5: Solve for x
    x = 30,993,974,593.61/274,857.64
  6. Step 6: Final answer
    x = 112,763.74

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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.