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Finding the Fourth Proportional to 202,805.64, 303,917.82 and 113,872.31

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Solution

The fourth proportional to 202,805.64, 303,917.82 and 113,872.31 is: 170,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,805.64 : 303,917.82 = 113,872.31 : x
  2. Step 2: Convert to fraction form
    202,805.64/303,917.82 = 113,872.31/x
  3. Step 3: Cross multiply
    202,805.64x = 303,917.82 × 113,872.31
  4. Step 4: Simplify right side
    202,805.64x = 34,607,823,192.41
  5. Step 5: Solve for x
    x = 34,607,823,192.41/202,805.64
  6. Step 6: Final answer
    x = 170,645.27

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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.