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Finding the Fourth Proportional to 224,198.12, 309,218.45 and 143,633.13

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Solution

The fourth proportional to 224,198.12, 309,218.45 and 143,633.13 is: 198,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,198.12 : 309,218.45 = 143,633.13 : x
  2. Step 2: Convert to fraction form
    224,198.12/309,218.45 = 143,633.13/x
  3. Step 3: Cross multiply
    224,198.12x = 309,218.45 × 143,633.13
  4. Step 4: Simplify right side
    224,198.12x = 44,414,013,109.08
  5. Step 5: Solve for x
    x = 44,414,013,109.08/224,198.12
  6. Step 6: Final answer
    x = 198,101.63

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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.