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Finding the Fourth Proportional to 209,711.73, 289,402.14 and 114,218.43

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Solution

The fourth proportional to 209,711.73, 289,402.14 and 114,218.43 is: 157,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.73 : 289,402.14 = 114,218.43 : x
  2. Step 2: Convert to fraction form
    209,711.73/289,402.14 = 114,218.43/x
  3. Step 3: Cross multiply
    209,711.73x = 289,402.14 × 114,218.43
  4. Step 4: Simplify right side
    209,711.73x = 33,055,057,905.21
  5. Step 5: Solve for x
    x = 33,055,057,905.21/209,711.73
  6. Step 6: Final answer
    x = 157,621.40

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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.