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Finding the Fourth Proportional to 202,189.60, 303,285.60 and 89,843.41

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Solution

The fourth proportional to 202,189.60, 303,285.60 and 89,843.41 is: 134,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189.60 : 303,285.60 = 89,843.41 : x
  2. Step 2: Convert to fraction form
    202,189.60/303,285.60 = 89,843.41/x
  3. Step 3: Cross multiply
    202,189.60x = 303,285.60 × 89,843.41
  4. Step 4: Simplify right side
    202,189.60x = 27,248,212,507.90
  5. Step 5: Solve for x
    x = 27,248,212,507.90/202,189.60
  6. Step 6: Final answer
    x = 134,765.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.