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Finding the Fourth Proportional to 206,740.21, 285,332.37 and 126,214.49

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Solution

The fourth proportional to 206,740.21, 285,332.37 and 126,214.49 is: 174,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,740.21 : 285,332.37 = 126,214.49 : x
  2. Step 2: Convert to fraction form
    206,740.21/285,332.37 = 126,214.49/x
  3. Step 3: Cross multiply
    206,740.21x = 285,332.37 × 126,214.49
  4. Step 4: Simplify right side
    206,740.21x = 36,013,078,133.38
  5. Step 5: Solve for x
    x = 36,013,078,133.38/206,740.21
  6. Step 6: Final answer
    x = 174,194.84

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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.