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Finding the Fourth Proportional to 209,691.09, 289,371.69 and 114,199.38

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Solution

The fourth proportional to 209,691.09, 289,371.69 and 114,199.38 is: 157,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,691.09 : 289,371.69 = 114,199.38 : x
  2. Step 2: Convert to fraction form
    209,691.09/289,371.69 = 114,199.38/x
  3. Step 3: Cross multiply
    209,691.09x = 289,371.69 × 114,199.38
  4. Step 4: Simplify right side
    209,691.09x = 33,046,067,587.55
  5. Step 5: Solve for x
    x = 33,046,067,587.55/209,691.09
  6. Step 6: Final answer
    x = 157,594.05

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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.