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Finding the Fourth Proportional to 209,865.52, 289,605.96 and 114,370.16

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Solution

The fourth proportional to 209,865.52, 289,605.96 and 114,370.16 is: 157,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,865.52 : 289,605.96 = 114,370.16 : x
  2. Step 2: Convert to fraction form
    209,865.52/289,605.96 = 114,370.16/x
  3. Step 3: Cross multiply
    209,865.52x = 289,605.96 × 114,370.16
  4. Step 4: Simplify right side
    209,865.52x = 33,122,279,982.15
  5. Step 5: Solve for x
    x = 33,122,279,982.15/209,865.52
  6. Step 6: Final answer
    x = 157,826.22

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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.