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Finding the Fourth Proportional to 209,585.46, 289,229.28 and 114,092.12

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Solution

The fourth proportional to 209,585.46, 289,229.28 and 114,092.12 is: 157,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,585.46 : 289,229.28 = 114,092.12 : x
  2. Step 2: Convert to fraction form
    209,585.46/289,229.28 = 114,092.12/x
  3. Step 3: Cross multiply
    209,585.46x = 289,229.28 × 114,092.12
  4. Step 4: Simplify right side
    209,585.46x = 32,998,781,721.27
  5. Step 5: Solve for x
    x = 32,998,781,721.27/209,585.46
  6. Step 6: Final answer
    x = 157,447.86

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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.