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Finding the Fourth Proportional to 166,315.56, 229,450.32 and 102,542.64

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Solution

The fourth proportional to 166,315.56, 229,450.32 and 102,542.64 is: 141,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,315.56 : 229,450.32 = 102,542.64 : x
  2. Step 2: Convert to fraction form
    166,315.56/229,450.32 = 102,542.64/x
  3. Step 3: Cross multiply
    166,315.56x = 229,450.32 × 102,542.64
  4. Step 4: Simplify right side
    166,315.56x = 23,528,441,561.64
  5. Step 5: Solve for x
    x = 23,528,441,561.64/166,315.56
  6. Step 6: Final answer
    x = 141,468.67

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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.