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Finding the Fourth Proportional to 260,042.80, 390,064.20 and 82,563.70

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Solution

The fourth proportional to 260,042.80, 390,064.20 and 82,563.70 is: 123,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.80 : 390,064.20 = 82,563.70 : x
  2. Step 2: Convert to fraction form
    260,042.80/390,064.20 = 82,563.70/x
  3. Step 3: Cross multiply
    260,042.80x = 390,064.20 × 82,563.70
  4. Step 4: Simplify right side
    260,042.80x = 32,205,143,589.54
  5. Step 5: Solve for x
    x = 32,205,143,589.54/260,042.80
  6. Step 6: Final answer
    x = 123,845.55

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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.