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Finding the Fourth Proportional to 202,538.80, 303,808.20 and 143,441.20

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Solution

The fourth proportional to 202,538.80, 303,808.20 and 143,441.20 is: 215,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.80 : 303,808.20 = 143,441.20 : x
  2. Step 2: Convert to fraction form
    202,538.80/303,808.20 = 143,441.20/x
  3. Step 3: Cross multiply
    202,538.80x = 303,808.20 × 143,441.20
  4. Step 4: Simplify right side
    202,538.80x = 43,578,612,777.84
  5. Step 5: Solve for x
    x = 43,578,612,777.84/202,538.80
  6. Step 6: Final answer
    x = 215,161.80

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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.