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Finding the Fourth Proportional to 202,346.36, 303,270.90 and 143,198.84

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Solution

The fourth proportional to 202,346.36, 303,270.90 and 143,198.84 is: 214,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346.36 : 303,270.90 = 143,198.84 : x
  2. Step 2: Convert to fraction form
    202,346.36/303,270.90 = 143,198.84/x
  3. Step 3: Cross multiply
    202,346.36x = 303,270.90 × 143,198.84
  4. Step 4: Simplify right side
    202,346.36x = 43,428,041,085.76
  5. Step 5: Solve for x
    x = 43,428,041,085.76/202,346.36
  6. Step 6: Final answer
    x = 214,622.30

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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.