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Finding the Fourth Proportional to 206,333.97, 284,752.63 and 115,685.55

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Solution

The fourth proportional to 206,333.97, 284,752.63 and 115,685.55 is: 159,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,333.97 : 284,752.63 = 115,685.55 : x
  2. Step 2: Convert to fraction form
    206,333.97/284,752.63 = 115,685.55/x
  3. Step 3: Cross multiply
    206,333.97x = 284,752.63 × 115,685.55
  4. Step 4: Simplify right side
    206,333.97x = 32,941,764,615.50
  5. Step 5: Solve for x
    x = 32,941,764,615.50/206,333.97
  6. Step 6: Final answer
    x = 159,652.65

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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.