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Finding the Fourth Proportional to 135,806.59, 203,909.86 and 75,952.33

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Solution

The fourth proportional to 135,806.59, 203,909.86 and 75,952.33 is: 114,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806.59 : 203,909.86 = 75,952.33 : x
  2. Step 2: Convert to fraction form
    135,806.59/203,909.86 = 75,952.33/x
  3. Step 3: Cross multiply
    135,806.59x = 203,909.86 × 75,952.33
  4. Step 4: Simplify right side
    135,806.59x = 15,487,429,456.81
  5. Step 5: Solve for x
    x = 15,487,429,456.81/135,806.59
  6. Step 6: Final answer
    x = 114,040.34

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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.