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Finding the Fourth Proportional to 263,096.96, 363,077.76 and 149,917.28

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Solution

The fourth proportional to 263,096.96, 363,077.76 and 149,917.28 is: 206,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,096.96 : 363,077.76 = 149,917.28 : x
  2. Step 2: Convert to fraction form
    263,096.96/363,077.76 = 149,917.28/x
  3. Step 3: Cross multiply
    263,096.96x = 363,077.76 × 149,917.28
  4. Step 4: Simplify right side
    263,096.96x = 54,431,630,207.69
  5. Step 5: Solve for x
    x = 54,431,630,207.69/263,096.96
  6. Step 6: Final answer
    x = 206,888.10

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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.