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Finding the Fourth Proportional to 209,537.58, 289,161.87 and 114,044.97

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Solution

The fourth proportional to 209,537.58, 289,161.87 and 114,044.97 is: 157,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.58 : 289,161.87 = 114,044.97 : x
  2. Step 2: Convert to fraction form
    209,537.58/289,161.87 = 114,044.97/x
  3. Step 3: Cross multiply
    209,537.58x = 289,161.87 × 114,044.97
  4. Step 4: Simplify right side
    209,537.58x = 32,977,456,789.29
  5. Step 5: Solve for x
    x = 32,977,456,789.29/209,537.58
  6. Step 6: Final answer
    x = 157,382.06

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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.