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Finding the Fourth Proportional to 206,593.56, 285,104.79 and 115,955.16

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Solution

The fourth proportional to 206,593.56, 285,104.79 and 115,955.16 is: 160,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.56 : 285,104.79 = 115,955.16 : x
  2. Step 2: Convert to fraction form
    206,593.56/285,104.79 = 115,955.16/x
  3. Step 3: Cross multiply
    206,593.56x = 285,104.79 × 115,955.16
  4. Step 4: Simplify right side
    206,593.56x = 33,059,371,541.22
  5. Step 5: Solve for x
    x = 33,059,371,541.22/206,593.56
  6. Step 6: Final answer
    x = 160,021.31

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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.