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Finding the Fourth Proportional to 209,859.16, 289,605.66 and 114,365.80

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Solution

The fourth proportional to 209,859.16, 289,605.66 and 114,365.80 is: 157,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.16 : 289,605.66 = 114,365.80 : x
  2. Step 2: Convert to fraction form
    209,859.16/289,605.66 = 114,365.80/x
  3. Step 3: Cross multiply
    209,859.16x = 289,605.66 × 114,365.80
  4. Step 4: Simplify right side
    209,859.16x = 33,120,982,990.43
  5. Step 5: Solve for x
    x = 33,120,982,990.43/209,859.16
  6. Step 6: Final answer
    x = 157,824.81

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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.