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Finding the Fourth Proportional to 206,414.20, 309,621.30 and 174,921.40

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Solution

The fourth proportional to 206,414.20, 309,621.30 and 174,921.40 is: 262,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.20 : 309,621.30 = 174,921.40 : x
  2. Step 2: Convert to fraction form
    206,414.20/309,621.30 = 174,921.40/x
  3. Step 3: Cross multiply
    206,414.20x = 309,621.30 × 174,921.40
  4. Step 4: Simplify right side
    206,414.20x = 54,159,391,265.82
  5. Step 5: Solve for x
    x = 54,159,391,265.82/206,414.20
  6. Step 6: Final answer
    x = 262,382.10

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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.