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Finding the Fourth Proportional to 257,945.33, 355,965.30 and 143,224.22

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Solution

The fourth proportional to 257,945.33, 355,965.30 and 143,224.22 is: 197,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,945.33 : 355,965.30 = 143,224.22 : x
  2. Step 2: Convert to fraction form
    257,945.33/355,965.30 = 143,224.22/x
  3. Step 3: Cross multiply
    257,945.33x = 355,965.30 × 143,224.22
  4. Step 4: Simplify right side
    257,945.33x = 50,982,853,329.48
  5. Step 5: Solve for x
    x = 50,982,853,329.48/257,945.33
  6. Step 6: Final answer
    x = 197,649.84

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