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Finding the Fourth Proportional to 271,952.43, 407,813.28 and 129,633.06

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Solution

The fourth proportional to 271,952.43, 407,813.28 and 129,633.06 is: 194,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952.43 : 407,813.28 = 129,633.06 : x
  2. Step 2: Convert to fraction form
    271,952.43/407,813.28 = 129,633.06/x
  3. Step 3: Cross multiply
    271,952.43x = 407,813.28 × 129,633.06
  4. Step 4: Simplify right side
    271,952.43x = 52,866,083,395.04
  5. Step 5: Solve for x
    x = 52,866,083,395.04/271,952.43
  6. Step 6: Final answer
    x = 194,394.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.