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Finding the Fourth Proportional to 257,899.44, 355,917.33 and 149,008.44

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Solution

The fourth proportional to 257,899.44, 355,917.33 and 149,008.44 is: 205,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,899.44 : 355,917.33 = 149,008.44 : x
  2. Step 2: Convert to fraction form
    257,899.44/355,917.33 = 149,008.44/x
  3. Step 3: Cross multiply
    257,899.44x = 355,917.33 × 149,008.44
  4. Step 4: Simplify right side
    257,899.44x = 53,034,686,112.27
  5. Step 5: Solve for x
    x = 53,034,686,112.27/257,899.44
  6. Step 6: Final answer
    x = 205,640.95

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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.