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Finding the Fourth Proportional to 326,143.97, 450,082.37 and 180,952.41

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Solution

The fourth proportional to 326,143.97, 450,082.37 and 180,952.41 is: 249,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,143.97 : 450,082.37 = 180,952.41 : x
  2. Step 2: Convert to fraction form
    326,143.97/450,082.37 = 180,952.41/x
  3. Step 3: Cross multiply
    326,143.97x = 450,082.37 × 180,952.41
  4. Step 4: Simplify right side
    326,143.97x = 81,443,491,690.20
  5. Step 5: Solve for x
    x = 81,443,491,690.20/326,143.97
  6. Step 6: Final answer
    x = 249,716.38

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Why These Related Problems?

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