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Finding the Fourth Proportional to 273,983.70, 410,716.35 and 161,750.10

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Solution

The fourth proportional to 273,983.70, 410,716.35 and 161,750.10 is: 242,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,983.70 : 410,716.35 = 161,750.10 : x
  2. Step 2: Convert to fraction form
    273,983.70/410,716.35 = 161,750.10/x
  3. Step 3: Cross multiply
    273,983.70x = 410,716.35 × 161,750.10
  4. Step 4: Simplify right side
    273,983.70x = 66,433,410,684.14
  5. Step 5: Solve for x
    x = 66,433,410,684.14/273,983.70
  6. Step 6: Final answer
    x = 242,472.13

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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.