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Finding the Fourth Proportional to 205,114.70, 283,057.68 and 114,469.70

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Solution

The fourth proportional to 205,114.70, 283,057.68 and 114,469.70 is: 157,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,114.70 : 283,057.68 = 114,469.70 : x
  2. Step 2: Convert to fraction form
    205,114.70/283,057.68 = 114,469.70/x
  3. Step 3: Cross multiply
    205,114.70x = 283,057.68 × 114,469.70
  4. Step 4: Simplify right side
    205,114.70x = 32,401,527,712.30
  5. Step 5: Solve for x
    x = 32,401,527,712.30/205,114.70
  6. Step 6: Final answer
    x = 157,967.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.