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Finding the Fourth Proportional to 202,298.80, 303,448.20 and 143,201.20

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Solution

The fourth proportional to 202,298.80, 303,448.20 and 143,201.20 is: 214,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.80 : 303,448.20 = 143,201.20 : x
  2. Step 2: Convert to fraction form
    202,298.80/303,448.20 = 143,201.20/x
  3. Step 3: Cross multiply
    202,298.80x = 303,448.20 × 143,201.20
  4. Step 4: Simplify right side
    202,298.80x = 43,454,146,377.84
  5. Step 5: Solve for x
    x = 43,454,146,377.84/202,298.80
  6. Step 6: Final answer
    x = 214,801.80

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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.