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Finding the Fourth Proportional to 378,161.83, 521,856.57 and 206,081.29

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Solution

The fourth proportional to 378,161.83, 521,856.57 and 206,081.29 is: 284,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,161.83 : 521,856.57 = 206,081.29 : x
  2. Step 2: Convert to fraction form
    378,161.83/521,856.57 = 206,081.29/x
  3. Step 3: Cross multiply
    378,161.83x = 521,856.57 × 206,081.29
  4. Step 4: Simplify right side
    378,161.83x = 107,544,875,140.58
  5. Step 5: Solve for x
    x = 107,544,875,140.58/378,161.83
  6. Step 6: Final answer
    x = 284,388.50

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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.