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Finding the Fourth Proportional to 209,604.11, 289,253.45 and 114,110.80

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Solution

The fourth proportional to 209,604.11, 289,253.45 and 114,110.80 is: 157,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.11 : 289,253.45 = 114,110.80 : x
  2. Step 2: Convert to fraction form
    209,604.11/289,253.45 = 114,110.80/x
  3. Step 3: Cross multiply
    209,604.11x = 289,253.45 × 114,110.80
  4. Step 4: Simplify right side
    209,604.11x = 33,006,942,144.40
  5. Step 5: Solve for x
    x = 33,006,942,144.40/209,604.11
  6. Step 6: Final answer
    x = 157,472.78

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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.