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Finding the Fourth Proportional to 227,091.69, 313,371.53 and 136,393.76

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Solution

The fourth proportional to 227,091.69, 313,371.53 and 136,393.76 is: 188,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,091.69 : 313,371.53 = 136,393.76 : x
  2. Step 2: Convert to fraction form
    227,091.69/313,371.53 = 136,393.76/x
  3. Step 3: Cross multiply
    227,091.69x = 313,371.53 × 136,393.76
  4. Step 4: Simplify right side
    227,091.69x = 42,741,921,253.65
  5. Step 5: Solve for x
    x = 42,741,921,253.65/227,091.69
  6. Step 6: Final answer
    x = 188,214.38

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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.