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Finding the Fourth Proportional to 227,219.38, 313,616.13 and 141,243.22

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Solution

The fourth proportional to 227,219.38, 313,616.13 and 141,243.22 is: 194,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,219.38 : 313,616.13 = 141,243.22 : x
  2. Step 2: Convert to fraction form
    227,219.38/313,616.13 = 141,243.22/x
  3. Step 3: Cross multiply
    227,219.38x = 313,616.13 × 141,243.22
  4. Step 4: Simplify right side
    227,219.38x = 44,296,152,045.14
  5. Step 5: Solve for x
    x = 44,296,152,045.14/227,219.38
  6. Step 6: Final answer
    x = 194,948.83

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Why These Related Problems?

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