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Finding the Fourth Proportional to 146,394.77, 202,014.17 and 80,980.83

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Solution

The fourth proportional to 146,394.77, 202,014.17 and 80,980.83 is: 111,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,394.77 : 202,014.17 = 80,980.83 : x
  2. Step 2: Convert to fraction form
    146,394.77/202,014.17 = 80,980.83/x
  3. Step 3: Cross multiply
    146,394.77x = 202,014.17 × 80,980.83
  4. Step 4: Simplify right side
    146,394.77x = 16,359,275,158.36
  5. Step 5: Solve for x
    x = 16,359,275,158.36/146,394.77
  6. Step 6: Final answer
    x = 111,747.67

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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.