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Finding the Fourth Proportional to 205,086.20, 307,629.30 and 200,478.20

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Solution

The fourth proportional to 205,086.20, 307,629.30 and 200,478.20 is: 300,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,086.20 : 307,629.30 = 200,478.20 : x
  2. Step 2: Convert to fraction form
    205,086.20/307,629.30 = 200,478.20/x
  3. Step 3: Cross multiply
    205,086.20x = 307,629.30 × 200,478.20
  4. Step 4: Simplify right side
    205,086.20x = 61,672,968,331.26
  5. Step 5: Solve for x
    x = 61,672,968,331.26/205,086.20
  6. Step 6: Final answer
    x = 300,717.30

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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.