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Finding the Fourth Proportional to 202,201.44, 279,053.82 and 111,575.40

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Solution

The fourth proportional to 202,201.44, 279,053.82 and 111,575.40 is: 153,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,201.44 : 279,053.82 = 111,575.40 : x
  2. Step 2: Convert to fraction form
    202,201.44/279,053.82 = 111,575.40/x
  3. Step 3: Cross multiply
    202,201.44x = 279,053.82 × 111,575.40
  4. Step 4: Simplify right side
    202,201.44x = 31,135,541,588.03
  5. Step 5: Solve for x
    x = 31,135,541,588.03/202,201.44
  6. Step 6: Final answer
    x = 153,982.79

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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.