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Finding the Fourth Proportional to 171,947.48, 257,972.48 and 82,057.68

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Solution

The fourth proportional to 171,947.48, 257,972.48 and 82,057.68 is: 123,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,947.48 : 257,972.48 = 82,057.68 : x
  2. Step 2: Convert to fraction form
    171,947.48/257,972.48 = 82,057.68/x
  3. Step 3: Cross multiply
    171,947.48x = 257,972.48 × 82,057.68
  4. Step 4: Simplify right side
    171,947.48x = 21,168,622,802.36
  5. Step 5: Solve for x
    x = 21,168,622,802.36/171,947.48
  6. Step 6: Final answer
    x = 123,110.98

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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.