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Finding the Fourth Proportional to 110,996.70, 166,385.70 and 54,845.48

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Solution

The fourth proportional to 110,996.70, 166,385.70 and 54,845.48 is: 82,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996.70 : 166,385.70 = 54,845.48 : x
  2. Step 2: Convert to fraction form
    110,996.70/166,385.70 = 54,845.48/x
  3. Step 3: Cross multiply
    110,996.70x = 166,385.70 × 54,845.48
  4. Step 4: Simplify right side
    110,996.70x = 9,125,502,749.71
  5. Step 5: Solve for x
    x = 9,125,502,749.71/110,996.70
  6. Step 6: Final answer
    x = 82,214.18

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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.