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Finding the Fourth Proportional to 257,053.97, 354,722.81 and 142,324.49

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Solution

The fourth proportional to 257,053.97, 354,722.81 and 142,324.49 is: 196,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.97 : 354,722.81 = 142,324.49 : x
  2. Step 2: Convert to fraction form
    257,053.97/354,722.81 = 142,324.49/x
  3. Step 3: Cross multiply
    257,053.97x = 354,722.81 × 142,324.49
  4. Step 4: Simplify right side
    257,053.97x = 50,485,740,539.38
  5. Step 5: Solve for x
    x = 50,485,740,539.38/257,053.97
  6. Step 6: Final answer
    x = 196,401.33

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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.