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Finding the Fourth Proportional to 206,425.44, 284,927.60 and 134,816.60

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Solution

The fourth proportional to 206,425.44, 284,927.60 and 134,816.60 is: 186,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425.44 : 284,927.60 = 134,816.60 : x
  2. Step 2: Convert to fraction form
    206,425.44/284,927.60 = 134,816.60/x
  3. Step 3: Cross multiply
    206,425.44x = 284,927.60 × 134,816.60
  4. Step 4: Simplify right side
    206,425.44x = 38,412,970,278.16
  5. Step 5: Solve for x
    x = 38,412,970,278.16/206,425.44
  6. Step 6: Final answer
    x = 186,086.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.