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Finding the Fourth Proportional to 205,112.27, 283,043.12 and 114,461.12

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Solution

The fourth proportional to 205,112.27, 283,043.12 and 114,461.12 is: 157,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,112.27 : 283,043.12 = 114,461.12 : x
  2. Step 2: Convert to fraction form
    205,112.27/283,043.12 = 114,461.12/x
  3. Step 3: Cross multiply
    205,112.27x = 283,043.12 × 114,461.12
  4. Step 4: Simplify right side
    205,112.27x = 32,397,432,658.80
  5. Step 5: Solve for x
    x = 32,397,432,658.80/205,112.27
  6. Step 6: Final answer
    x = 157,949.75

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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.