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Finding the Fourth Proportional to 206,634.30, 309,623.40 and 136,431.60

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Solution

The fourth proportional to 206,634.30, 309,623.40 and 136,431.60 is: 204,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.30 : 309,623.40 = 136,431.60 : x
  2. Step 2: Convert to fraction form
    206,634.30/309,623.40 = 136,431.60/x
  3. Step 3: Cross multiply
    206,634.30x = 309,623.40 × 136,431.60
  4. Step 4: Simplify right side
    206,634.30x = 42,242,415,859.44
  5. Step 5: Solve for x
    x = 42,242,415,859.44/206,634.30
  6. Step 6: Final answer
    x = 204,430.80

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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.