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Finding the Fourth Proportional to 273,958.08, 410,969.88 and 116,166

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Solution

The fourth proportional to 273,958.08, 410,969.88 and 116,166 is: 174,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,958.08 : 410,969.88 = 116,166 : x
  2. Step 2: Convert to fraction form
    273,958.08/410,969.88 = 116,166/x
  3. Step 3: Cross multiply
    273,958.08x = 410,969.88 × 116,166
  4. Step 4: Simplify right side
    273,958.08x = 47,740,727,080.08
  5. Step 5: Solve for x
    x = 47,740,727,080.08/273,958.08
  6. Step 6: Final answer
    x = 174,262.89

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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.