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Finding the Fourth Proportional to 209,222.41, 288,740.33 and 117,350.32

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Solution

The fourth proportional to 209,222.41, 288,740.33 and 117,350.32 is: 161,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,222.41 : 288,740.33 = 117,350.32 : x
  2. Step 2: Convert to fraction form
    209,222.41/288,740.33 = 117,350.32/x
  3. Step 3: Cross multiply
    209,222.41x = 288,740.33 × 117,350.32
  4. Step 4: Simplify right side
    209,222.41x = 33,883,770,122.41
  5. Step 5: Solve for x
    x = 33,883,770,122.41/209,222.41
  6. Step 6: Final answer
    x = 161,950.96

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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.