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Finding the Fourth Proportional to 152,357.67, 228,077.23 and 82,023.75

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Solution

The fourth proportional to 152,357.67, 228,077.23 and 82,023.75 is: 122,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,357.67 : 228,077.23 = 82,023.75 : x
  2. Step 2: Convert to fraction form
    152,357.67/228,077.23 = 82,023.75/x
  3. Step 3: Cross multiply
    152,357.67x = 228,077.23 × 82,023.75
  4. Step 4: Simplify right side
    152,357.67x = 18,707,749,694.21
  5. Step 5: Solve for x
    x = 18,707,749,694.21/152,357.67
  6. Step 6: Final answer
    x = 122,788.37

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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.