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Finding the Fourth Proportional to 209,494.82, 289,108.88 and 114,007.56

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Solution

The fourth proportional to 209,494.82, 289,108.88 and 114,007.56 is: 157,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,494.82 : 289,108.88 = 114,007.56 : x
  2. Step 2: Convert to fraction form
    209,494.82/289,108.88 = 114,007.56/x
  3. Step 3: Cross multiply
    209,494.82x = 289,108.88 × 114,007.56
  4. Step 4: Simplify right side
    209,494.82x = 32,960,597,413.10
  5. Step 5: Solve for x
    x = 32,960,597,413.10/209,494.82
  6. Step 6: Final answer
    x = 157,333.71

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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.