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Finding the Fourth Proportional to 177,896.79, 245,508.45 and 102,469.59

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Solution

The fourth proportional to 177,896.79, 245,508.45 and 102,469.59 is: 141,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,896.79 : 245,508.45 = 102,469.59 : x
  2. Step 2: Convert to fraction form
    177,896.79/245,508.45 = 102,469.59/x
  3. Step 3: Cross multiply
    177,896.79x = 245,508.45 × 102,469.59
  4. Step 4: Simplify right side
    177,896.79x = 25,157,150,213.04
  5. Step 5: Solve for x
    x = 25,157,150,213.04/177,896.79
  6. Step 6: Final answer
    x = 141,414.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.