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Finding the Fourth Proportional to 209,704.65, 289,395.71 and 114,211.27

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Solution

The fourth proportional to 209,704.65, 289,395.71 and 114,211.27 is: 157,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.65 : 289,395.71 = 114,211.27 : x
  2. Step 2: Convert to fraction form
    209,704.65/289,395.71 = 114,211.27/x
  3. Step 3: Cross multiply
    209,704.65x = 289,395.71 × 114,211.27
  4. Step 4: Simplify right side
    209,704.65x = 33,052,251,571.65
  5. Step 5: Solve for x
    x = 33,052,251,571.65/209,704.65
  6. Step 6: Final answer
    x = 157,613.35

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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.