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Finding the Fourth Proportional to 226,142.69, 312,013.22 and 145,616.81

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Solution

The fourth proportional to 226,142.69, 312,013.22 and 145,616.81 is: 200,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,142.69 : 312,013.22 = 145,616.81 : x
  2. Step 2: Convert to fraction form
    226,142.69/312,013.22 = 145,616.81/x
  3. Step 3: Cross multiply
    226,142.69x = 312,013.22 × 145,616.81
  4. Step 4: Simplify right side
    226,142.69x = 45,434,367,486.08
  5. Step 5: Solve for x
    x = 45,434,367,486.08/226,142.69
  6. Step 6: Final answer
    x = 200,910.18

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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.