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Finding the Fourth Proportional to 206,404.20, 309,533.40 and 73,288.80

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Solution

The fourth proportional to 206,404.20, 309,533.40 and 73,288.80 is: 109,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.20 : 309,533.40 = 73,288.80 : x
  2. Step 2: Convert to fraction form
    206,404.20/309,533.40 = 73,288.80/x
  3. Step 3: Cross multiply
    206,404.20x = 309,533.40 × 73,288.80
  4. Step 4: Simplify right side
    206,404.20x = 22,685,331,445.92
  5. Step 5: Solve for x
    x = 22,685,331,445.92/206,404.20
  6. Step 6: Final answer
    x = 109,907.32

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1.5x scale

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.