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Finding the Fourth Proportional to 209,872.80, 289,616.02 and 114,377.44

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Solution

The fourth proportional to 209,872.80, 289,616.02 and 114,377.44 is: 157,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.80 : 289,616.02 = 114,377.44 : x
  2. Step 2: Convert to fraction form
    209,872.80/289,616.02 = 114,377.44/x
  3. Step 3: Cross multiply
    209,872.80x = 289,616.02 × 114,377.44
  4. Step 4: Simplify right side
    209,872.80x = 33,125,538,950.59
  5. Step 5: Solve for x
    x = 33,125,538,950.59/209,872.80
  6. Step 6: Final answer
    x = 157,836.27

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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.