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Finding the Fourth Proportional to 206,551.20, 309,826.80 and 194,109.60

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Solution

The fourth proportional to 206,551.20, 309,826.80 and 194,109.60 is: 291,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.20 : 309,826.80 = 194,109.60 : x
  2. Step 2: Convert to fraction form
    206,551.20/309,826.80 = 194,109.60/x
  3. Step 3: Cross multiply
    206,551.20x = 309,826.80 × 194,109.60
  4. Step 4: Simplify right side
    206,551.20x = 60,140,356,217.28
  5. Step 5: Solve for x
    x = 60,140,356,217.28/206,551.20
  6. Step 6: Final answer
    x = 291,164.40

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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.