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Finding the Fourth Proportional to 260,665.96, 390,992.10 and 83,183.80

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Solution

The fourth proportional to 260,665.96, 390,992.10 and 83,183.80 is: 124,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,665.96 : 390,992.10 = 83,183.80 : x
  2. Step 2: Convert to fraction form
    260,665.96/390,992.10 = 83,183.80/x
  3. Step 3: Cross multiply
    260,665.96x = 390,992.10 × 83,183.80
  4. Step 4: Simplify right side
    260,665.96x = 32,524,208,647.98
  5. Step 5: Solve for x
    x = 32,524,208,647.98/260,665.96
  6. Step 6: Final answer
    x = 124,773.52

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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.