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Finding the Fourth Proportional to 273,969.14, 410,937.30 and 114,004.67

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Solution

The fourth proportional to 273,969.14, 410,937.30 and 114,004.67 is: 171,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,969.14 : 410,937.30 = 114,004.67 : x
  2. Step 2: Convert to fraction form
    273,969.14/410,937.30 = 114,004.67/x
  3. Step 3: Cross multiply
    273,969.14x = 410,937.30 × 114,004.67
  4. Step 4: Simplify right side
    273,969.14x = 46,848,769,222.50
  5. Step 5: Solve for x
    x = 46,848,769,222.50/273,969.14
  6. Step 6: Final answer
    x = 171,000.17

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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.