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Finding the Fourth Proportional to 202,898.28, 280,089.31 and 121,255.34

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Solution

The fourth proportional to 202,898.28, 280,089.31 and 121,255.34 is: 167,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,898.28 : 280,089.31 = 121,255.34 : x
  2. Step 2: Convert to fraction form
    202,898.28/280,089.31 = 121,255.34/x
  3. Step 3: Cross multiply
    202,898.28x = 280,089.31 × 121,255.34
  4. Step 4: Simplify right side
    202,898.28x = 33,962,324,514.42
  5. Step 5: Solve for x
    x = 33,962,324,514.42/202,898.28
  6. Step 6: Final answer
    x = 167,385.97

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