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Finding the Fourth Proportional to 202,846.90, 304,205.55 and 84,489.70

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Solution

The fourth proportional to 202,846.90, 304,205.55 and 84,489.70 is: 126,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,846.90 : 304,205.55 = 84,489.70 : x
  2. Step 2: Convert to fraction form
    202,846.90/304,205.55 = 84,489.70/x
  3. Step 3: Cross multiply
    202,846.90x = 304,205.55 × 84,489.70
  4. Step 4: Simplify right side
    202,846.90x = 25,702,235,657.84
  5. Step 5: Solve for x
    x = 25,702,235,657.84/202,846.90
  6. Step 6: Final answer
    x = 126,707.56

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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.