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Finding the Fourth Proportional to 209,585.34, 289,227.77 and 114,092.73

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Solution

The fourth proportional to 209,585.34, 289,227.77 and 114,092.73 is: 157,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,585.34 : 289,227.77 = 114,092.73 : x
  2. Step 2: Convert to fraction form
    209,585.34/289,227.77 = 114,092.73/x
  3. Step 3: Cross multiply
    209,585.34x = 289,227.77 × 114,092.73
  4. Step 4: Simplify right side
    209,585.34x = 32,998,785,300.65
  5. Step 5: Solve for x
    x = 32,998,785,300.65/209,585.34
  6. Step 6: Final answer
    x = 157,447.97

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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.