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Finding the Fourth Proportional to 260,687.40, 391,048.92 and 83,207.85

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Solution

The fourth proportional to 260,687.40, 391,048.92 and 83,207.85 is: 124,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,687.40 : 391,048.92 = 83,207.85 : x
  2. Step 2: Convert to fraction form
    260,687.40/391,048.92 = 83,207.85/x
  3. Step 3: Cross multiply
    260,687.40x = 391,048.92 × 83,207.85
  4. Step 4: Simplify right side
    260,687.40x = 32,538,339,878.02
  5. Step 5: Solve for x
    x = 32,538,339,878.02/260,687.40
  6. Step 6: Final answer
    x = 124,817.46

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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.