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Finding the Fourth Proportional to 206,675.40, 310,013.10 and 203,910.60

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Solution

The fourth proportional to 206,675.40, 310,013.10 and 203,910.60 is: 305,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,675.40 : 310,013.10 = 203,910.60 : x
  2. Step 2: Convert to fraction form
    206,675.40/310,013.10 = 203,910.60/x
  3. Step 3: Cross multiply
    206,675.40x = 310,013.10 × 203,910.60
  4. Step 4: Simplify right side
    206,675.40x = 63,214,957,228.86
  5. Step 5: Solve for x
    x = 63,214,957,228.86/206,675.40
  6. Step 6: Final answer
    x = 305,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.