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Finding the Fourth Proportional to 209,767.26, 289,468.53 and 114,268.26

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Solution

The fourth proportional to 209,767.26, 289,468.53 and 114,268.26 is: 157,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,767.26 : 289,468.53 = 114,268.26 : x
  2. Step 2: Convert to fraction form
    209,767.26/289,468.53 = 114,268.26/x
  3. Step 3: Cross multiply
    209,767.26x = 289,468.53 × 114,268.26
  4. Step 4: Simplify right side
    209,767.26x = 33,077,065,247.86
  5. Step 5: Solve for x
    x = 33,077,065,247.86/209,767.26
  6. Step 6: Final answer
    x = 157,684.59

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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.