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Finding the Fourth Proportional to 202,253.92, 303,134.84 and 143,106.64

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Solution

The fourth proportional to 202,253.92, 303,134.84 and 143,106.64 is: 214,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,253.92 : 303,134.84 = 143,106.64 : x
  2. Step 2: Convert to fraction form
    202,253.92/303,134.84 = 143,106.64/x
  3. Step 3: Cross multiply
    202,253.92x = 303,134.84 × 143,106.64
  4. Step 4: Simplify right side
    202,253.92x = 43,380,608,419.34
  5. Step 5: Solve for x
    x = 43,380,608,419.34/202,253.92
  6. Step 6: Final answer
    x = 214,485.87

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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.