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Finding the Fourth Proportional to 255,662.82, 383,494.23 and 78,169.83

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Solution

The fourth proportional to 255,662.82, 383,494.23 and 78,169.83 is: 117,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,662.82 : 383,494.23 = 78,169.83 : x
  2. Step 2: Convert to fraction form
    255,662.82/383,494.23 = 78,169.83/x
  3. Step 3: Cross multiply
    255,662.82x = 383,494.23 × 78,169.83
  4. Step 4: Simplify right side
    255,662.82x = 29,977,678,765.08
  5. Step 5: Solve for x
    x = 29,977,678,765.08/255,662.82
  6. Step 6: Final answer
    x = 117,254.75

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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.