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Finding the Fourth Proportional to 206,748.06, 285,420.69 and 139,120.62

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Solution

The fourth proportional to 206,748.06, 285,420.69 and 139,120.62 is: 192,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,748.06 : 285,420.69 = 139,120.62 : x
  2. Step 2: Convert to fraction form
    206,748.06/285,420.69 = 139,120.62/x
  3. Step 3: Cross multiply
    206,748.06x = 285,420.69 × 139,120.62
  4. Step 4: Simplify right side
    206,748.06x = 39,707,903,353.63
  5. Step 5: Solve for x
    x = 39,707,903,353.63/206,748.06
  6. Step 6: Final answer
    x = 192,059.38

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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.