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Finding the Fourth Proportional to 206,534.76, 308,403.18 and 163,936.92

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Solution

The fourth proportional to 206,534.76, 308,403.18 and 163,936.92 is: 244,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,534.76 : 308,403.18 = 163,936.92 : x
  2. Step 2: Convert to fraction form
    206,534.76/308,403.18 = 163,936.92/x
  3. Step 3: Cross multiply
    206,534.76x = 308,403.18 × 163,936.92
  4. Step 4: Simplify right side
    206,534.76x = 50,558,667,447.41
  5. Step 5: Solve for x
    x = 50,558,667,447.41/206,534.76
  6. Step 6: Final answer
    x = 244,794.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.