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Finding the Fourth Proportional to 209,608.28, 289,264.62 and 114,120.21

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Solution

The fourth proportional to 209,608.28, 289,264.62 and 114,120.21 is: 157,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,608.28 : 289,264.62 = 114,120.21 : x
  2. Step 2: Convert to fraction form
    209,608.28/289,264.62 = 114,120.21/x
  3. Step 3: Cross multiply
    209,608.28x = 289,264.62 × 114,120.21
  4. Step 4: Simplify right side
    209,608.28x = 33,010,939,179.97
  5. Step 5: Solve for x
    x = 33,010,939,179.97/209,608.28
  6. Step 6: Final answer
    x = 157,488.72

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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.