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Finding the Fourth Proportional to 206,684.89, 285,203.12 and 116,050.75

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Solution

The fourth proportional to 206,684.89, 285,203.12 and 116,050.75 is: 160,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.89 : 285,203.12 = 116,050.75 : x
  2. Step 2: Convert to fraction form
    206,684.89/285,203.12 = 116,050.75/x
  3. Step 3: Cross multiply
    206,684.89x = 285,203.12 × 116,050.75
  4. Step 4: Simplify right side
    206,684.89x = 33,098,035,978.34
  5. Step 5: Solve for x
    x = 33,098,035,978.34/206,684.89
  6. Step 6: Final answer
    x = 160,137.67

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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.