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Finding the Fourth Proportional to 209,613.56, 289,265.99 and 114,120.23

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Solution

The fourth proportional to 209,613.56, 289,265.99 and 114,120.23 is: 157,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,613.56 : 289,265.99 = 114,120.23 : x
  2. Step 2: Convert to fraction form
    209,613.56/289,265.99 = 114,120.23/x
  3. Step 3: Cross multiply
    209,613.56x = 289,265.99 × 114,120.23
  4. Step 4: Simplify right side
    209,613.56x = 33,011,099,293.05
  5. Step 5: Solve for x
    x = 33,011,099,293.05/209,613.56
  6. Step 6: Final answer
    x = 157,485.52

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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.