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Finding the Fourth Proportional to 312,779.50, 469,169.30 and 76,122.18

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Solution

The fourth proportional to 312,779.50, 469,169.30 and 76,122.18 is: 114,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.50 : 469,169.30 = 76,122.18 : x
  2. Step 2: Convert to fraction form
    312,779.50/469,169.30 = 76,122.18/x
  3. Step 3: Cross multiply
    312,779.50x = 469,169.30 × 76,122.18
  4. Step 4: Simplify right side
    312,779.50x = 35,714,189,905.07
  5. Step 5: Solve for x
    x = 35,714,189,905.07/312,779.50
  6. Step 6: Final answer
    x = 114,183.28

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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.