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Finding the Fourth Proportional to 199,651.14, 299,476.17 and 81,294.66

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Solution

The fourth proportional to 199,651.14, 299,476.17 and 81,294.66 is: 121,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,651.14 : 299,476.17 = 81,294.66 : x
  2. Step 2: Convert to fraction form
    199,651.14/299,476.17 = 81,294.66/x
  3. Step 3: Cross multiply
    199,651.14x = 299,476.17 × 81,294.66
  4. Step 4: Simplify right side
    199,651.14x = 24,345,813,418.25
  5. Step 5: Solve for x
    x = 24,345,813,418.25/199,651.14
  6. Step 6: Final answer
    x = 121,941.77

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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.