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Finding the Fourth Proportional to 148,190.86, 204,501.60 and 80,206.20

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Solution

The fourth proportional to 148,190.86, 204,501.60 and 80,206.20 is: 110,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,190.86 : 204,501.60 = 80,206.20 : x
  2. Step 2: Convert to fraction form
    148,190.86/204,501.60 = 80,206.20/x
  3. Step 3: Cross multiply
    148,190.86x = 204,501.60 × 80,206.20
  4. Step 4: Simplify right side
    148,190.86x = 16,402,296,229.92
  5. Step 5: Solve for x
    x = 16,402,296,229.92/148,190.86
  6. Step 6: Final answer
    x = 110,683.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.