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Finding the Fourth Proportional to 202,016.23, 278,782.97 and 121,489.88

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Solution

The fourth proportional to 202,016.23, 278,782.97 and 121,489.88 is: 167,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.23 : 278,782.97 = 121,489.88 : x
  2. Step 2: Convert to fraction form
    202,016.23/278,782.97 = 121,489.88/x
  3. Step 3: Cross multiply
    202,016.23x = 278,782.97 × 121,489.88
  4. Step 4: Simplify right side
    202,016.23x = 33,869,309,571.34
  5. Step 5: Solve for x
    x = 33,869,309,571.34/202,016.23
  6. Step 6: Final answer
    x = 167,656.38

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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.