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Finding the Fourth Proportional to 209,884.38, 289,638.63 and 114,391.05

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Solution

The fourth proportional to 209,884.38, 289,638.63 and 114,391.05 is: 157,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.38 : 289,638.63 = 114,391.05 : x
  2. Step 2: Convert to fraction form
    209,884.38/289,638.63 = 114,391.05/x
  3. Step 3: Cross multiply
    209,884.38x = 289,638.63 × 114,391.05
  4. Step 4: Simplify right side
    209,884.38x = 33,132,067,006.26
  5. Step 5: Solve for x
    x = 33,132,067,006.26/209,884.38
  6. Step 6: Final answer
    x = 157,858.66

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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.