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Finding the Fourth Proportional to 263,187.72, 394,740.34 and 85,693.53

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Solution

The fourth proportional to 263,187.72, 394,740.34 and 85,693.53 is: 128,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,187.72 : 394,740.34 = 85,693.53 : x
  2. Step 2: Convert to fraction form
    263,187.72/394,740.34 = 85,693.53/x
  3. Step 3: Cross multiply
    263,187.72x = 394,740.34 × 85,693.53
  4. Step 4: Simplify right side
    263,187.72x = 33,826,693,168.00
  5. Step 5: Solve for x
    x = 33,826,693,168.00/263,187.72
  6. Step 6: Final answer
    x = 128,526.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.