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Finding the Fourth Proportional to 312,779.69, 469,169.58 and 76,122.37

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Solution

The fourth proportional to 312,779.69, 469,169.58 and 76,122.37 is: 114,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.69 : 469,169.58 = 76,122.37 : x
  2. Step 2: Convert to fraction form
    312,779.69/469,169.58 = 76,122.37/x
  3. Step 3: Cross multiply
    312,779.69x = 469,169.58 × 76,122.37
  4. Step 4: Simplify right side
    312,779.69x = 35,714,300,361.50
  5. Step 5: Solve for x
    x = 35,714,300,361.50/312,779.69
  6. Step 6: Final answer
    x = 114,183.57

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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.