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Finding the Fourth Proportional to 209,635.43, 289,294.00 and 114,142.12

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Solution

The fourth proportional to 209,635.43, 289,294.00 and 114,142.12 is: 157,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,635.43 : 289,294.00 = 114,142.12 : x
  2. Step 2: Convert to fraction form
    209,635.43/289,294.00 = 114,142.12/x
  3. Step 3: Cross multiply
    209,635.43x = 289,294.00 × 114,142.12
  4. Step 4: Simplify right side
    209,635.43x = 33,020,629,454.69
  5. Step 5: Solve for x
    x = 33,020,629,454.69/209,635.43
  6. Step 6: Final answer
    x = 157,514.55

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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.