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Finding the Fourth Proportional to 142,779.80, 214,114.34 and 76,183.59

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Solution

The fourth proportional to 142,779.80, 214,114.34 and 76,183.59 is: 114,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,779.80 : 214,114.34 = 76,183.59 : x
  2. Step 2: Convert to fraction form
    142,779.80/214,114.34 = 76,183.59/x
  3. Step 3: Cross multiply
    142,779.80x = 214,114.34 × 76,183.59
  4. Step 4: Simplify right side
    142,779.80x = 16,311,998,710.76
  5. Step 5: Solve for x
    x = 16,311,998,710.76/142,779.80
  6. Step 6: Final answer
    x = 114,245.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.