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Finding the Fourth Proportional to 202,505.96, 279,460.38 and 111,864.33

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Solution

The fourth proportional to 202,505.96, 279,460.38 and 111,864.33 is: 154,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,505.96 : 279,460.38 = 111,864.33 : x
  2. Step 2: Convert to fraction form
    202,505.96/279,460.38 = 111,864.33/x
  3. Step 3: Cross multiply
    202,505.96x = 279,460.38 × 111,864.33
  4. Step 4: Simplify right side
    202,505.96x = 31,261,648,170.25
  5. Step 5: Solve for x
    x = 31,261,648,170.25/202,505.96
  6. Step 6: Final answer
    x = 154,373.97

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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.