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Finding the Fourth Proportional to 209,591.82, 289,238.04 and 114,098.49

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Solution

The fourth proportional to 209,591.82, 289,238.04 and 114,098.49 is: 157,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,591.82 : 289,238.04 = 114,098.49 : x
  2. Step 2: Convert to fraction form
    209,591.82/289,238.04 = 114,098.49/x
  3. Step 3: Cross multiply
    209,591.82x = 289,238.04 × 114,098.49
  4. Step 4: Simplify right side
    209,591.82x = 33,001,623,614.56
  5. Step 5: Solve for x
    x = 33,001,623,614.56/209,591.82
  6. Step 6: Final answer
    x = 157,456.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.