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Finding the Fourth Proportional to 175,697.88, 263,270.86 and 135,814.59

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Solution

The fourth proportional to 175,697.88, 263,270.86 and 135,814.59 is: 203,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,697.88 : 263,270.86 = 135,814.59 : x
  2. Step 2: Convert to fraction form
    175,697.88/263,270.86 = 135,814.59/x
  3. Step 3: Cross multiply
    175,697.88x = 263,270.86 × 135,814.59
  4. Step 4: Simplify right side
    175,697.88x = 35,756,023,909.85
  5. Step 5: Solve for x
    x = 35,756,023,909.85/175,697.88
  6. Step 6: Final answer
    x = 203,508.57

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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.