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Finding the Fourth Proportional to 206,438.40, 284,883.80 and 114,556.76

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Solution

The fourth proportional to 206,438.40, 284,883.80 and 114,556.76 is: 158,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.40 : 284,883.80 = 114,556.76 : x
  2. Step 2: Convert to fraction form
    206,438.40/284,883.80 = 114,556.76/x
  3. Step 3: Cross multiply
    206,438.40x = 284,883.80 × 114,556.76
  4. Step 4: Simplify right side
    206,438.40x = 32,635,365,104.49
  5. Step 5: Solve for x
    x = 32,635,365,104.49/206,438.40
  6. Step 6: Final answer
    x = 158,087.67

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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.