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Finding the Fourth Proportional to 199,797.57, 299,696.35 and 81,478.14

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Solution

The fourth proportional to 199,797.57, 299,696.35 and 81,478.14 is: 122,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,797.57 : 299,696.35 = 81,478.14 : x
  2. Step 2: Convert to fraction form
    199,797.57/299,696.35 = 81,478.14/x
  3. Step 3: Cross multiply
    199,797.57x = 299,696.35 × 81,478.14
  4. Step 4: Simplify right side
    199,797.57x = 24,418,699,664.31
  5. Step 5: Solve for x
    x = 24,418,699,664.31/199,797.57
  6. Step 6: Final answer
    x = 122,217.20

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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.