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Finding the Fourth Proportional to 259,968.80, 389,953.20 and 82,489.70

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Solution

The fourth proportional to 259,968.80, 389,953.20 and 82,489.70 is: 123,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968.80 : 389,953.20 = 82,489.70 : x
  2. Step 2: Convert to fraction form
    259,968.80/389,953.20 = 82,489.70/x
  3. Step 3: Cross multiply
    259,968.80x = 389,953.20 × 82,489.70
  4. Step 4: Simplify right side
    259,968.80x = 32,167,122,482.04
  5. Step 5: Solve for x
    x = 32,167,122,482.04/259,968.80
  6. Step 6: Final answer
    x = 123,734.55

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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.