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Finding the Fourth Proportional to 227,151.34, 313,469.30 and 136,508.69

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Solution

The fourth proportional to 227,151.34, 313,469.30 and 136,508.69 is: 188,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,151.34 : 313,469.30 = 136,508.69 : x
  2. Step 2: Convert to fraction form
    227,151.34/313,469.30 = 136,508.69/x
  3. Step 3: Cross multiply
    227,151.34x = 313,469.30 × 136,508.69
  4. Step 4: Simplify right side
    227,151.34x = 42,791,284,623.16
  5. Step 5: Solve for x
    x = 42,791,284,623.16/227,151.34
  6. Step 6: Final answer
    x = 188,382.27

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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.