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Finding the Fourth Proportional to 257,908.37, 355,939.13 and 144,731.57

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Solution

The fourth proportional to 257,908.37, 355,939.13 and 144,731.57 is: 199,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,908.37 : 355,939.13 = 144,731.57 : x
  2. Step 2: Convert to fraction form
    257,908.37/355,939.13 = 144,731.57/x
  3. Step 3: Cross multiply
    257,908.37x = 355,939.13 × 144,731.57
  4. Step 4: Simplify right side
    257,908.37x = 51,515,629,109.33
  5. Step 5: Solve for x
    x = 51,515,629,109.33/257,908.37
  6. Step 6: Final answer
    x = 199,743.92

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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.