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Finding the Fourth Proportional to 257,906.37, 355,936.37 and 144,729.57

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Solution

The fourth proportional to 257,906.37, 355,936.37 and 144,729.57 is: 199,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.37 : 355,936.37 = 144,729.57 : x
  2. Step 2: Convert to fraction form
    257,906.37/355,936.37 = 144,729.57/x
  3. Step 3: Cross multiply
    257,906.37x = 355,936.37 × 144,729.57
  4. Step 4: Simplify right side
    257,906.37x = 51,514,517,053.81
  5. Step 5: Solve for x
    x = 51,514,517,053.81/257,906.37
  6. Step 6: Final answer
    x = 199,741.16

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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.