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Finding the Fourth Proportional to 206,090.35, 309,250.34 and 111,318.46

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Solution

The fourth proportional to 206,090.35, 309,250.34 and 111,318.46 is: 167,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,090.35 : 309,250.34 = 111,318.46 : x
  2. Step 2: Convert to fraction form
    206,090.35/309,250.34 = 111,318.46/x
  3. Step 3: Cross multiply
    206,090.35x = 309,250.34 × 111,318.46
  4. Step 4: Simplify right side
    206,090.35x = 34,425,271,603.28
  5. Step 5: Solve for x
    x = 34,425,271,603.28/206,090.35
  6. Step 6: Final answer
    x = 167,039.71

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