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Finding the Fourth Proportional to 135,217.30, 202,437.15 and 82,729.30

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Solution

The fourth proportional to 135,217.30, 202,437.15 and 82,729.30 is: 123,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,217.30 : 202,437.15 = 82,729.30 : x
  2. Step 2: Convert to fraction form
    135,217.30/202,437.15 = 82,729.30/x
  3. Step 3: Cross multiply
    135,217.30x = 202,437.15 × 82,729.30
  4. Step 4: Simplify right side
    135,217.30x = 16,747,483,713.50
  5. Step 5: Solve for x
    x = 16,747,483,713.50/135,217.30
  6. Step 6: Final answer
    x = 123,856.07

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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.