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Finding the Fourth Proportional to 202,900.02, 280,091.73 and 121,257.09

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Solution

The fourth proportional to 202,900.02, 280,091.73 and 121,257.09 is: 167,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,900.02 : 280,091.73 = 121,257.09 : x
  2. Step 2: Convert to fraction form
    202,900.02/280,091.73 = 121,257.09/x
  3. Step 3: Cross multiply
    202,900.02x = 280,091.73 × 121,257.09
  4. Step 4: Simplify right side
    202,900.02x = 33,963,108,112.87
  5. Step 5: Solve for x
    x = 33,963,108,112.87/202,900.02
  6. Step 6: Final answer
    x = 167,388.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.