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Finding the Fourth Proportional to 159,861.98, 220,617.60 and 106,055.30

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Solution

The fourth proportional to 159,861.98, 220,617.60 and 106,055.30 is: 146,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,861.98 : 220,617.60 = 106,055.30 : x
  2. Step 2: Convert to fraction form
    159,861.98/220,617.60 = 106,055.30/x
  3. Step 3: Cross multiply
    159,861.98x = 220,617.60 × 106,055.30
  4. Step 4: Simplify right side
    159,861.98x = 23,397,665,753.28
  5. Step 5: Solve for x
    x = 23,397,665,753.28/159,861.98
  6. Step 6: Final answer
    x = 146,361.67

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Why These Related Problems?

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