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Finding the Fourth Proportional to 257,943.97, 355,945.32 and 143,216.68

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Solution

The fourth proportional to 257,943.97, 355,945.32 and 143,216.68 is: 197,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,943.97 : 355,945.32 = 143,216.68 : x
  2. Step 2: Convert to fraction form
    257,943.97/355,945.32 = 143,216.68/x
  3. Step 3: Cross multiply
    257,943.97x = 355,945.32 × 143,216.68
  4. Step 4: Simplify right side
    257,943.97x = 50,977,306,991.94
  5. Step 5: Solve for x
    x = 50,977,306,991.94/257,943.97
  6. Step 6: Final answer
    x = 197,629.38

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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.