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Finding the Fourth Proportional to 206,265.51, 284,659.56 and 115,621.52

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Solution

The fourth proportional to 206,265.51, 284,659.56 and 115,621.52 is: 159,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,265.51 : 284,659.56 = 115,621.52 : x
  2. Step 2: Convert to fraction form
    206,265.51/284,659.56 = 115,621.52/x
  3. Step 3: Cross multiply
    206,265.51x = 284,659.56 × 115,621.52
  4. Step 4: Simplify right side
    206,265.51x = 32,912,769,586.43
  5. Step 5: Solve for x
    x = 32,912,769,586.43/206,265.51
  6. Step 6: Final answer
    x = 159,565.07

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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.