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Finding the Fourth Proportional to 257,519.25, 355,387.50 and 144,342

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Solution

The fourth proportional to 257,519.25, 355,387.50 and 144,342 is: 199,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,519.25 : 355,387.50 = 144,342 : x
  2. Step 2: Convert to fraction form
    257,519.25/355,387.50 = 144,342/x
  3. Step 3: Cross multiply
    257,519.25x = 355,387.50 × 144,342
  4. Step 4: Simplify right side
    257,519.25x = 51,297,342,525
  5. Step 5: Solve for x
    x = 51,297,342,525/257,519.25
  6. Step 6: Final answer
    x = 199,198.09

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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.