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Finding the Fourth Proportional to 176,930.96, 265,481.42 and 110,354

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Solution

The fourth proportional to 176,930.96, 265,481.42 and 110,354 is: 165,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,930.96 : 265,481.42 = 110,354 : x
  2. Step 2: Convert to fraction form
    176,930.96/265,481.42 = 110,354/x
  3. Step 3: Cross multiply
    176,930.96x = 265,481.42 × 110,354
  4. Step 4: Simplify right side
    176,930.96x = 29,296,936,622.68
  5. Step 5: Solve for x
    x = 29,296,936,622.68/176,930.96
  6. Step 6: Final answer
    x = 165,584.00

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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.