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Finding the Fourth Proportional to 206,801.70, 310,202.55 and 135,942.90

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Solution

The fourth proportional to 206,801.70, 310,202.55 and 135,942.90 is: 203,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.70 : 310,202.55 = 135,942.90 : x
  2. Step 2: Convert to fraction form
    206,801.70/310,202.55 = 135,942.90/x
  3. Step 3: Cross multiply
    206,801.70x = 310,202.55 × 135,942.90
  4. Step 4: Simplify right side
    206,801.70x = 42,169,834,234.40
  5. Step 5: Solve for x
    x = 42,169,834,234.40/206,801.70
  6. Step 6: Final answer
    x = 203,914.35

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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.