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Finding the Fourth Proportional to 148,842.34, 205,401.61 and 80,858.77

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Solution

The fourth proportional to 148,842.34, 205,401.61 and 80,858.77 is: 111,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,842.34 : 205,401.61 = 80,858.77 : x
  2. Step 2: Convert to fraction form
    148,842.34/205,401.61 = 80,858.77/x
  3. Step 3: Cross multiply
    148,842.34x = 205,401.61 × 80,858.77
  4. Step 4: Simplify right side
    148,842.34x = 16,608,520,673.36
  5. Step 5: Solve for x
    x = 16,608,520,673.36/148,842.34
  6. Step 6: Final answer
    x = 111,584.65

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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.