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Finding the Fourth Proportional to 275,785.83, 413,473.68 and 115,908.71

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Solution

The fourth proportional to 275,785.83, 413,473.68 and 115,908.71 is: 173,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,785.83 : 413,473.68 = 115,908.71 : x
  2. Step 2: Convert to fraction form
    275,785.83/413,473.68 = 115,908.71/x
  3. Step 3: Cross multiply
    275,785.83x = 413,473.68 × 115,908.71
  4. Step 4: Simplify right side
    275,785.83x = 47,925,198,800.38
  5. Step 5: Solve for x
    x = 47,925,198,800.38/275,785.83
  6. Step 6: Final answer
    x = 173,776.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.