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Finding the Fourth Proportional to 206,855.60, 310,283.40 and 192,093.35

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Solution

The fourth proportional to 206,855.60, 310,283.40 and 192,093.35 is: 288,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.60 : 310,283.40 = 192,093.35 : x
  2. Step 2: Convert to fraction form
    206,855.60/310,283.40 = 192,093.35/x
  3. Step 3: Cross multiply
    206,855.60x = 310,283.40 × 192,093.35
  4. Step 4: Simplify right side
    206,855.60x = 59,603,377,755.39
  5. Step 5: Solve for x
    x = 59,603,377,755.39/206,855.60
  6. Step 6: Final answer
    x = 288,140.03

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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.